{"id":563389,"date":"2021-12-21T10:09:43","date_gmt":"2021-12-21T10:09:43","guid":{"rendered":"https:\/\/www.indcareer.com\/schools\/?p=563389"},"modified":"2021-12-28T06:16:27","modified_gmt":"2021-12-28T06:16:27","slug":"maharashtra-board-solutions-class-11-arts-science-maths-part-2-chapter-2-sequences-and-series","status":"publish","type":"post","link":"https:\/\/www.indcareer.com\/schools\/maharashtra-board-solutions-class-11-arts-science-maths-part-2-chapter-2-sequences-and-series\/","title":{"rendered":"Maharashtra Board Solutions Class 11-Arts &#038; Science Maths (Part 2): Chapter 2- Sequences and Series"},"content":{"rendered":"\n<p>Class 11: Maths Chapter 2 solutions. Complete Class 11 Maths Chapter 2 Notes.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-maharashtra-board-solutions-class-11-arts-science-maths-part-2-chapter-2-sequences-and-series\">Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series<\/h2>\n\n\n\n<p>Maharashtra Board 11th Maths Chapter 2, Class 11 Maths Chapter 2 solutions<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Ex. 2.1<\/h4>\n\n\n\n<p><strong>Question 1.<br>Check whether the following sequences are G.P. If so, write t<sub>n<\/sub>.<br>(i) 2, 6, 18, 54, \u2026\u2026<br>Solution:<\/strong><br><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"406\" height=\"232\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/1-86.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.1\" class=\"wp-image-563468\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/1-86.png 406w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/1-86-300x171.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/1-86-400x229.png 400w\" sizes=\"auto, (max-width: 406px) 100vw, 406px\" \/><\/figure>\n\n\n\n<p><strong>(ii) 1, -5, 25, -125, \u2026\u2026\u2026<br>Solution:<\/strong><br><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"399\" height=\"233\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/2-78.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.1\" class=\"wp-image-563469\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/2-78.png 399w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/2-78-300x175.png 300w\" sizes=\"auto, (max-width: 399px) 100vw, 399px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"586\" height=\"613\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/1-84.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.1\" class=\"wp-image-563392\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/1-84.png 586w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/1-84-287x300.png 287w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/1-84-400x418.png 400w\" sizes=\"auto, (max-width: 586px) 100vw, 586px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"545\" height=\"576\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/2-76.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.1\" class=\"wp-image-563393\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/2-76.png 545w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/2-76-284x300.png 284w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/2-76-400x423.png 400w\" sizes=\"auto, (max-width: 545px) 100vw, 545px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"513\" height=\"629\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/3-75.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.1\" class=\"wp-image-563394\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/3-75.png 513w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/3-75-245x300.png 245w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/3-75-400x490.png 400w\" sizes=\"auto, (max-width: 513px) 100vw, 513px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"524\" height=\"583\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/4-79.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.1\" class=\"wp-image-563395\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/4-79.png 524w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/4-79-270x300.png 270w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/4-79-400x445.png 400w\" sizes=\"auto, (max-width: 524px) 100vw, 524px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"548\" height=\"624\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/5-71.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.1\" class=\"wp-image-563396\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/5-71.png 548w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/5-71-263x300.png 263w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/5-71-400x455.png 400w\" sizes=\"auto, (max-width: 548px) 100vw, 548px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"723\" height=\"546\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/6-71.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.1\" class=\"wp-image-563397\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/6-71.png 723w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/6-71-300x227.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/6-71-200x150.png 200w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/6-71-400x302.png 400w\" sizes=\"auto, (max-width: 723px) 100vw, 723px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"725\" height=\"598\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/7-70.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.1\" class=\"wp-image-563398\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/7-70.png 725w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/7-70-300x247.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/7-70-400x330.png 400w\" sizes=\"auto, (max-width: 725px) 100vw, 725px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"633\" height=\"594\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/8-75.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.1\" class=\"wp-image-563399\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/8-75.png 633w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/8-75-300x282.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/8-75-400x375.png 400w\" sizes=\"auto, (max-width: 633px) 100vw, 633px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"790\" height=\"604\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/9-67.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.1\" class=\"wp-image-563400\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/9-67.png 790w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/9-67-300x229.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/9-67-768x587.png 768w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/9-67-400x306.png 400w\" sizes=\"auto, (max-width: 790px) 100vw, 790px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"566\" height=\"420\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/10-68.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.1\" class=\"wp-image-563401\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/10-68.png 566w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/10-68-300x223.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/10-68-400x297.png 400w\" sizes=\"auto, (max-width: 566px) 100vw, 566px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"780\" height=\"551\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/11-59.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.1\" class=\"wp-image-563402\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/11-59.png 780w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/11-59-300x212.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/11-59-768x543.png 768w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/11-59-400x283.png 400w\" sizes=\"auto, (max-width: 780px) 100vw, 780px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"750\" height=\"330\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/12-64.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.1\" class=\"wp-image-563403\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/12-64.png 750w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/12-64-300x132.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/12-64-400x176.png 400w\" sizes=\"auto, (max-width: 750px) 100vw, 750px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"804\" height=\"627\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/13-59.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.1\" class=\"wp-image-563404\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/13-59.png 804w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/13-59-300x234.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/13-59-768x599.png 768w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/13-59-400x312.png 400w\" sizes=\"auto, (max-width: 804px) 100vw, 804px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"801\" height=\"590\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/14-56.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.1\" class=\"wp-image-563405\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/14-56.png 801w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/14-56-300x221.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/14-56-768x566.png 768w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/14-56-400x295.png 400w\" sizes=\"auto, (max-width: 801px) 100vw, 801px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"575\" height=\"110\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/15-54.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.1\" class=\"wp-image-563406\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/15-54.png 575w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/15-54-300x57.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/15-54-400x77.png 400w\" sizes=\"auto, (max-width: 575px) 100vw, 575px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"787\" height=\"603\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/16-56.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.1\" class=\"wp-image-563407\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/16-56.png 787w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/16-56-300x230.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/16-56-768x588.png 768w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/16-56-400x306.png 400w\" sizes=\"auto, (max-width: 787px) 100vw, 787px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"744\" height=\"360\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/17-54.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.1\" class=\"wp-image-563408\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/17-54.png 744w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/17-54-300x145.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/17-54-400x194.png 400w\" sizes=\"auto, (max-width: 744px) 100vw, 744px\" \/><\/figure>\n\n\n\n<p>(iii) Number of mosquitoes after n years = 200 (1.1)<sup>n<\/sup><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"696\" height=\"526\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/18-52.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.1\" class=\"wp-image-563409\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/18-52.png 696w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/18-52-300x227.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/18-52-200x150.png 200w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/18-52-400x302.png 400w\" sizes=\"auto, (max-width: 696px) 100vw, 696px\" \/><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">Ex 2.2<\/h4>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"421\" height=\"580\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/19-50.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.2\" class=\"wp-image-563410\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/19-50.png 421w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/19-50-218x300.png 218w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/19-50-400x551.png 400w\" sizes=\"auto, (max-width: 421px) 100vw, 421px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"541\" height=\"549\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/20-45.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.2\" class=\"wp-image-563411\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/20-45.png 541w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/20-45-296x300.png 296w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/20-45-400x406.png 400w\" sizes=\"auto, (max-width: 541px) 100vw, 541px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"483\" height=\"607\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/21-45.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.2\" class=\"wp-image-563412\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/21-45.png 483w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/21-45-239x300.png 239w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/21-45-400x503.png 400w\" sizes=\"auto, (max-width: 483px) 100vw, 483px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"520\" height=\"593\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/22-40.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.2\" class=\"wp-image-563413\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/22-40.png 520w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/22-40-263x300.png 263w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/22-40-400x456.png 400w\" sizes=\"auto, (max-width: 520px) 100vw, 520px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"543\" height=\"594\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/23-43.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.2\" class=\"wp-image-563414\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/23-43.png 543w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/23-43-274x300.png 274w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/23-43-400x438.png 400w\" sizes=\"auto, (max-width: 543px) 100vw, 543px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"765\" height=\"576\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/24-38.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.2\" class=\"wp-image-563415\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/24-38.png 765w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/24-38-300x226.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/24-38-400x301.png 400w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/24-38-200x150.png 200w\" sizes=\"auto, (max-width: 765px) 100vw, 765px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"604\" height=\"591\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/25-37.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.2\" class=\"wp-image-563416\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/25-37.png 604w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/25-37-300x294.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/25-37-400x391.png 400w\" sizes=\"auto, (max-width: 604px) 100vw, 604px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"588\" height=\"612\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/26-35.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.2\" class=\"wp-image-563417\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/26-35.png 588w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/26-35-288x300.png 288w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/26-35-400x416.png 400w\" sizes=\"auto, (max-width: 588px) 100vw, 588px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"613\" height=\"603\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/27-34.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.2\" class=\"wp-image-563418\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/27-34.png 613w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/27-34-300x295.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/27-34-400x393.png 400w\" sizes=\"auto, (max-width: 613px) 100vw, 613px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"642\" height=\"590\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/28-32.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.2\" class=\"wp-image-563419\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/28-32.png 642w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/28-32-300x276.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/28-32-400x368.png 400w\" sizes=\"auto, (max-width: 642px) 100vw, 642px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"262\" height=\"208\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/3-77.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.2\" class=\"wp-image-563470\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"689\" height=\"440\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/29-32.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.2\" class=\"wp-image-563421\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/29-32.png 689w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/29-32-300x192.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/29-32-400x255.png 400w\" sizes=\"auto, (max-width: 689px) 100vw, 689px\" \/><\/figure>\n\n\n\n<p><strong>Question 7.<br>Find the sum to n terms of the sequence<br>(i) 0.5, 0.05, 0.005, \u2026..<br>Solution:<\/strong><br><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"325\" height=\"325\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/4-81.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.2\" class=\"wp-image-563471\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/4-81.png 325w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/4-81-300x300.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/4-81-150x150.png 150w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/4-81-200x200.png 200w\" sizes=\"auto, (max-width: 325px) 100vw, 325px\" \/><\/figure>\n\n\n\n<p><strong>(ii) 0.2, 0.02, 0.002, \u2026\u2026<br>Solution:<\/strong><br><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"354\" height=\"225\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/5-73.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.2\" class=\"wp-image-563472\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/5-73.png 354w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/5-73-300x191.png 300w\" sizes=\"auto, (max-width: 354px) 100vw, 354px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"258\" height=\"107\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/6-73.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.2\" class=\"wp-image-563473\"\/><\/figure>\n\n\n\n<p><strong>Question 8.<br>For a sequence, if S<sub>n<\/sub>&nbsp;= 2(3n \u2013 1), find the nth term, hence showing that the sequence is a G.P.<br>Solution:<\/strong><br><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"398\" height=\"392\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/7-72.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.2\" class=\"wp-image-563474\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/7-72.png 398w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/7-72-300x295.png 300w\" sizes=\"auto, (max-width: 398px) 100vw, 398px\" \/><\/figure>\n\n\n\n<p><strong>Question 9.<br>If S, P, R are the sum, product, and sum of the reciprocals of n terms of a G.P, respectively, then verify that&nbsp;[SR]n&nbsp;= P<sup>2<\/sup>.<br>Solution:<\/strong><br>Let a be the 1st term and r be the common ratio of the G.P.<br>\u2234 the G.P. is a, ar, ar<sup>2<\/sup>, ar<sup>3<\/sup>, \u2026, ar<sup>n-1<\/sup><br><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"368\" height=\"366\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/8-77.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.2\" class=\"wp-image-563475\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/8-77.png 368w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/8-77-300x298.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/8-77-150x150.png 150w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/8-77-200x200.png 200w\" sizes=\"auto, (max-width: 368px) 100vw, 368px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/9-69.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.2\" class=\"wp-image-563476\" width=\"341\" height=\"301\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/9-69.png 341w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/9-69-300x265.png 300w\" sizes=\"auto, (max-width: 341px) 100vw, 341px\" \/><\/figure>\n\n\n\n<p><strong>Question 10.<br>If S<sub>n<\/sub>, S<sub>2n<\/sub>, S<sub>3n<\/sub>&nbsp;are the sum of n, 2n, 3n terms of a G.P. respectively, then verify that S<sub>n<\/sub>(S<sub>3n<\/sub>&nbsp;\u2013 S<sub>2n<\/sub>) = (S<sub>2n<\/sub>&nbsp;\u2013 S<sub>n<\/sub>)<sup>2<\/sup>.<br>Solution:<\/strong><br>Let a and r be the 1st term and common ratio of the G.P. respectively.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"385\" height=\"301\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/10-70.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.2\" class=\"wp-image-563477\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/10-70.png 385w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/10-70-300x235.png 300w\" sizes=\"auto, (max-width: 385px) 100vw, 385px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/11-61.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.2\" class=\"wp-image-563478\" width=\"385\" height=\"399\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/11-61.png 385w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/11-61-289x300.png 289w\" sizes=\"auto, (max-width: 385px) 100vw, 385px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"604\" height=\"550\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/30-28.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.2\" class=\"wp-image-563422\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/30-28.png 604w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/30-28-300x273.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/30-28-400x364.png 400w\" sizes=\"auto, (max-width: 604px) 100vw, 604px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"775\" height=\"540\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/31-27.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.2\" class=\"wp-image-563423\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/31-27.png 775w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/31-27-300x209.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/31-27-768x535.png 768w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/31-27-400x279.png 400w\" sizes=\"auto, (max-width: 775px) 100vw, 775px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"645\" height=\"294\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/32-26.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.2\" class=\"wp-image-563424\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/32-26.png 645w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/32-26-300x137.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/32-26-400x182.png 400w\" sizes=\"auto, (max-width: 645px) 100vw, 645px\" \/><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">Ex 2.3<\/h4>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"723\" height=\"382\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/33-25.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.3\" class=\"wp-image-563425\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/33-25.png 723w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/33-25-300x159.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/33-25-400x211.png 400w\" sizes=\"auto, (max-width: 723px) 100vw, 723px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"525\" height=\"300\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/1-85.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.3\" class=\"wp-image-563426\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/1-85.png 525w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/1-85-300x171.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/1-85-400x229.png 400w\" sizes=\"auto, (max-width: 525px) 100vw, 525px\" \/><\/figure>\n\n\n\n<p>Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.3<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"559\" height=\"240\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/4-80.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.3\" class=\"wp-image-563429\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/4-80.png 559w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/4-80-300x129.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/4-80-400x172.png 400w\" sizes=\"auto, (max-width: 559px) 100vw, 559px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"627\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/5-72.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.3\" class=\"wp-image-563430\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/5-72.png 620w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/5-72-297x300.png 297w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/5-72-400x405.png 400w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"213\" height=\"150\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/12-66.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.3\" class=\"wp-image-563479\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"634\" height=\"535\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/6-72.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.3\" class=\"wp-image-563432\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/6-72.png 634w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/6-72-300x253.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/6-72-400x338.png 400w\" sizes=\"auto, (max-width: 634px) 100vw, 634px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"738\" height=\"615\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/7-71.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.3\" class=\"wp-image-563433\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/7-71.png 738w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/7-71-300x250.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/7-71-400x333.png 400w\" sizes=\"auto, (max-width: 738px) 100vw, 738px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/8-76.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.3\" class=\"wp-image-563434\" width=\"502\" height=\"273\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/8-76.png 502w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/8-76-300x163.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/8-76-400x218.png 400w\" sizes=\"auto, (max-width: 502px) 100vw, 502px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"737\" height=\"584\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/9-68.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.3\" class=\"wp-image-563435\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/9-68.png 737w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/9-68-300x238.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/9-68-400x317.png 400w\" sizes=\"auto, (max-width: 737px) 100vw, 737px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"524\" height=\"630\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/10-69.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.3\" class=\"wp-image-563436\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/10-69.png 524w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/10-69-250x300.png 250w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/10-69-400x481.png 400w\" sizes=\"auto, (max-width: 524px) 100vw, 524px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"612\" height=\"592\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/11-60.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.3\" class=\"wp-image-563437\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/11-60.png 612w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/11-60-300x290.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/11-60-400x387.png 400w\" sizes=\"auto, (max-width: 612px) 100vw, 612px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"634\" height=\"572\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/12-65.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.3\" class=\"wp-image-563438\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/12-65.png 634w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/12-65-300x271.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/12-65-400x361.png 400w\" sizes=\"auto, (max-width: 634px) 100vw, 634px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"769\" height=\"624\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/13-60.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.3\" class=\"wp-image-563439\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/13-60.png 769w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/13-60-300x243.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/13-60-400x325.png 400w\" sizes=\"auto, (max-width: 769px) 100vw, 769px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"502\" height=\"624\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/14-57.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.3\" class=\"wp-image-563440\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/14-57.png 502w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/14-57-241x300.png 241w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/14-57-400x497.png 400w\" sizes=\"auto, (max-width: 502px) 100vw, 502px\" \/><\/figure>\n\n\n\n<p><strong>Question 8.<br>A ball is dropped from a height of 10 m. It bounces to a height of 6m, then 3.6 m, and so on. Find the total distance travelled by the ball.<br>Solution:<\/strong><br>Here, on the first bounce, the ball will go 6 m and it will return 6 m.<br>On the second bounce, the ball will go 3.6 m and it will return 3.6 m, and so on.<br>Given that, a ball is dropped from a height of 10 m.<br>\u2234 Total distance travelled by the ball is = 10 + 2[6 + 3.6 + \u2026]<br>The terms 6, 3.6 \u2026 are in G.P.<br>a = 6, r = 0.6, |r| = |0.6| &lt; 1<br>\u2234 Sum to infinity exists.<br>\u2234 Total distance travelled by the ball<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"253\" height=\"178\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/13-61.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.3\" class=\"wp-image-563480\"\/><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">Ex 2.4<\/h4>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"552\" height=\"627\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/15-55.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.4\" class=\"wp-image-563441\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/15-55.png 552w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/15-55-264x300.png 264w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/15-55-400x454.png 400w\" sizes=\"auto, (max-width: 552px) 100vw, 552px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"572\" height=\"594\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/16-57.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.4\" class=\"wp-image-563442\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/16-57.png 572w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/16-57-289x300.png 289w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/16-57-400x415.png 400w\" sizes=\"auto, (max-width: 572px) 100vw, 572px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"511\" height=\"576\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/17-55.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.4\" class=\"wp-image-563443\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/17-55.png 511w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/17-55-266x300.png 266w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/17-55-400x451.png 400w\" sizes=\"auto, (max-width: 511px) 100vw, 511px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"698\" height=\"464\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/18-53.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.4\" class=\"wp-image-563444\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/18-53.png 698w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/18-53-300x199.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/18-53-400x266.png 400w\" sizes=\"auto, (max-width: 698px) 100vw, 698px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"654\" height=\"618\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/19-51.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.4\" class=\"wp-image-563445\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/19-51.png 654w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/19-51-300x283.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/19-51-400x378.png 400w\" sizes=\"auto, (max-width: 654px) 100vw, 654px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"665\" height=\"581\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/20-46.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.4\" class=\"wp-image-563446\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/20-46.png 665w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/20-46-300x262.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/20-46-400x349.png 400w\" sizes=\"auto, (max-width: 665px) 100vw, 665px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"729\" height=\"607\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/21-46.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.4\" class=\"wp-image-563447\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/21-46.png 729w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/21-46-300x250.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/21-46-400x333.png 400w\" sizes=\"auto, (max-width: 729px) 100vw, 729px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"633\" height=\"604\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/22-41.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.4\" class=\"wp-image-563448\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/22-41.png 633w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/22-41-300x286.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/22-41-400x382.png 400w\" sizes=\"auto, (max-width: 633px) 100vw, 633px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"590\" height=\"572\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/23-44.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.4\" class=\"wp-image-563449\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/23-44.png 590w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/23-44-300x291.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/23-44-400x388.png 400w\" sizes=\"auto, (max-width: 590px) 100vw, 590px\" \/><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">Ex 2.5<\/h4>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"577\" height=\"610\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/24-39.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.5\" class=\"wp-image-563450\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/24-39.png 577w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/24-39-284x300.png 284w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/24-39-400x423.png 400w\" sizes=\"auto, (max-width: 577px) 100vw, 577px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"497\" height=\"104\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/25-38.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.5\" class=\"wp-image-563451\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/25-38.png 497w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/25-38-300x63.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/25-38-400x84.png 400w\" sizes=\"auto, (max-width: 497px) 100vw, 497px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"543\" height=\"591\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/26-36.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.5\" class=\"wp-image-563452\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/26-36.png 543w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/26-36-276x300.png 276w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/26-36-400x435.png 400w\" sizes=\"auto, (max-width: 543px) 100vw, 543px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"585\" height=\"632\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/27-35.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.5\" class=\"wp-image-563453\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/27-35.png 585w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/27-35-278x300.png 278w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/27-35-400x432.png 400w\" sizes=\"auto, (max-width: 585px) 100vw, 585px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"594\" height=\"627\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/28-33.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.5\" class=\"wp-image-563454\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/28-33.png 594w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/28-33-284x300.png 284w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/28-33-400x422.png 400w\" sizes=\"auto, (max-width: 594px) 100vw, 594px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"563\" height=\"216\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/29-33.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.5\" class=\"wp-image-563455\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/29-33.png 563w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/29-33-300x115.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/29-33-400x153.png 400w\" sizes=\"auto, (max-width: 563px) 100vw, 563px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"676\" height=\"627\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/30-29.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.5\" class=\"wp-image-563456\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/30-29.png 676w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/30-29-300x278.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/30-29-400x371.png 400w\" sizes=\"auto, (max-width: 676px) 100vw, 676px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"557\" height=\"625\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/31-28.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.5\" class=\"wp-image-563457\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/31-28.png 557w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/31-28-267x300.png 267w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/31-28-400x449.png 400w\" sizes=\"auto, (max-width: 557px) 100vw, 557px\" \/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"406\" height=\"613\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/14-58.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.5\" class=\"wp-image-563481\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/14-58.png 406w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/14-58-199x300.png 199w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/14-58-400x604.png 400w\" sizes=\"auto, (max-width: 406px) 100vw, 406px\" \/><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">Ex 2.6<\/h4>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"598\" height=\"611\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/32-27.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.6\" class=\"wp-image-563458\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/32-27.png 598w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/32-27-294x300.png 294w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/32-27-400x409.png 400w\" sizes=\"auto, (max-width: 598px) 100vw, 598px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"545\" height=\"600\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/33-26.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.6\" class=\"wp-image-563459\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/33-26.png 545w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/33-26-273x300.png 273w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/33-26-400x440.png 400w\" sizes=\"auto, (max-width: 545px) 100vw, 545px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"465\" height=\"567\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/34-22.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.6\" class=\"wp-image-563460\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/34-22.png 465w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/34-22-246x300.png 246w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/34-22-400x488.png 400w\" sizes=\"auto, (max-width: 465px) 100vw, 465px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"599\" height=\"540\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/35-22.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.6\" class=\"wp-image-563461\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/35-22.png 599w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/35-22-300x270.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/35-22-400x361.png 400w\" sizes=\"auto, (max-width: 599px) 100vw, 599px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"577\" height=\"628\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/36-21.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.6\" class=\"wp-image-563462\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/36-21.png 577w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/36-21-276x300.png 276w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/36-21-400x435.png 400w\" sizes=\"auto, (max-width: 577px) 100vw, 577px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"507\" height=\"229\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/37-18.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.6\" class=\"wp-image-563463\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/37-18.png 507w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/37-18-300x136.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/37-18-400x181.png 400w\" sizes=\"auto, (max-width: 507px) 100vw, 507px\" \/><\/figure>\n\n\n\n<p><strong>Question 8.<br>Find the sum 1 \u00d7 3 \u00d7 5 + 3 \u00d7 5 \u00d7 7 + 5 \u00d7 7 \u00d7 9 + \u2026\u2026 + (2n \u2013 1) (2n + 1) (2n + 3)<br>Solution:<\/strong><br>Let S = 1 \u00d7 3 \u00d7 5 + 3 \u00d7 5 \u00d7 7 + \u2026.. upto n terms<br>Here, 1, 3, 5, 7 \u2026 are in A.P. with rth term = 2r \u2013 1,<br>3, 5, 7, 9,\u2026 are in A.P. with rth term = 2r + 1,<br>5, 7, 9, 11,\u2026 are in A.P. with rth term = 2r + 3<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"277\" height=\"197\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/15-56.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.6\" class=\"wp-image-563482\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"358\" height=\"233\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/16-58.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.6\" class=\"wp-image-563483\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/16-58.png 358w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/16-58-300x195.png 300w\" sizes=\"auto, (max-width: 358px) 100vw, 358px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"602\" height=\"591\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/38-19.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.6\" class=\"wp-image-563464\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/38-19.png 602w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/38-19-300x295.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/38-19-400x393.png 400w\" sizes=\"auto, (max-width: 602px) 100vw, 602px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"687\" height=\"580\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/39-17.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.6\" class=\"wp-image-563465\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/39-17.png 687w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/39-17-300x253.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/39-17-400x338.png 400w\" sizes=\"auto, (max-width: 687px) 100vw, 687px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"472\" height=\"84\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/40-16.png\" alt=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Ex. 2.6\" class=\"wp-image-563466\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/40-16.png 472w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/40-16-300x53.png 300w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/12\/40-16-400x71.png 400w\" sizes=\"auto, (max-width: 472px) 100vw, 472px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Download PDF<\/strong><\/h2>\n\n\n\n<p>Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series<\/p>\n\n\n\n<p><a href=\"https:\/\/www.indcareer.com\/docs\/1218f818-f30b-4cb7-9f01-10da0c1612c6\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Download PDF<\/strong>: Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series PDF<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Chapterwise Maharashtra Board Solutions Class 11 Arts &amp; Science Maths (Part 2) :<\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"https:\/\/www.indcareer.com\/schools\/maharashtra-board-solutions-class-11-arts-science-maths-part-2-chapter-1-complex-numbers\/\">Chapter 1- Complex Numbers<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/maharashtra-board-solutions-class-11-arts-science-maths-part-2-chapter-2-sequences-and-series\/\">Chapter 2- Sequences and Series<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/maharashtra-board-solutions-class-11-arts-science-maths-part-2-chapter-3-permutations-and-combination\/\">Chapter 3- Permutations and Combination<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/maharashtra-board-solutions-class-11-arts-science-maths-part-2-chapter-4-methods-of-induction-and-binomial-theorem\/\">Chapter 4- Methods of Induction and Binomial Theorem<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/maharashtra-board-solutions-class-11-arts-science-maths-part-2-chapter-5-sets-and-relations\/\">Chapter 5- Sets and Relations<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/maharashtra-board-solutions-class-11-arts-science-maths-part-2-chapter-6-functions\/\">Chapter 6- Functions<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/maharashtra-board-solutions-class-11-arts-science-maths-part-2-chapter-7-limits\/\">Chapter 7- Limits<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/maharashtra-board-solutions-class-11-arts-science-maths-part-2-chapter-8-continuity\/\">Chapter 8- Continuity<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/maharashtra-board-solutions-class-11-arts-science-maths-part-2-chapter-9-differentiation\/\">Chapter 9- Differentiation<\/a><\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-faqs\">FAQs<\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1637607587822\"><strong class=\"schema-faq-question\">Where do I get the Maharashtra State Board Books PDF For free download?<\/strong> <p class=\"schema-faq-answer\">You can download the Maharashtra State Board Books from the eBalbharti official website, i.e. cart.ebalbharati.in or from this article.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1636085525999\"><strong class=\"schema-faq-question\">How to Download Maharashtra State Board Books?<\/strong> <p class=\"schema-faq-answer\">Students can get the Maharashtra Books for primary, secondary, and senior secondary classes from here.\u00a0 You can view or download the\u00a0<strong>Maharashtra State Board Books<\/strong>\u00a0from this page or from the official website for free of cost. Students can follow the detailed steps below to visit the official website and download the e-books for all subjects or a specific subject in different mediums.<br\/><strong>Step 1:<\/strong>\u00a0Visit the official website\u00a0<em><a rel=\"noreferrer noopener\" href=\"https:\/\/ebalbharati.in\/main\/publicHome.aspx\" target=\"_blank\">ebalbharati.in<\/a><\/em><br\/><strong>Step 2:<\/strong>\u00a0On the top of the screen, select &#8220;Download PDF textbooks&#8221;\u00a0<br\/><strong>Step 3:\u00a0<\/strong>From the &#8220;Classes&#8221;\u00a0section, select your class.<br\/><strong>Step 4:\u00a0<\/strong>From &#8220;Medium&#8221;, select the medium suitable to you.<br\/><strong>Step 5:\u00a0<\/strong>All Maharashtra board books for your class will now be displayed on the right side.\u00a0<br\/>Step 6:\u00a0Click on the &#8220;Download&#8221;\u00a0option to download the PDF book.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1637607561423\"><strong class=\"schema-faq-question\">Who developed the Maharashtra State board books?<\/strong> <p class=\"schema-faq-answer\">As of now, the MSCERT and Balbharti are responsible for the syllabus and textbooks of Classes 1 to 8, while Classes 9 and 10 are under the Maharashtra State Board of Secondary and Higher Secondary Education (MSBSHSE).<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1637607721404\"><strong class=\"schema-faq-question\">How many state boards are there in Maharashtra?<\/strong> <p class=\"schema-faq-answer\">The Maharashtra State Board of Secondary &amp; Higher Secondary Education, conducts the HSC and SSC Examinations in the state of Maharashtra through its\u00a0<strong>nine<\/strong>\u00a0Divisional Boards located at Pune, Mumbai, Aurangabad, Nasik, Kolhapur, Amravati, Latur, Nagpur and Ratnagiri.<\/p> <\/div> <\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-about-maharashtra-state-board-msbshse\">About Maharashtra State Board (<strong>MSBSHSE<\/strong>)<\/h2>\n\n\n\n<p>The Maharashtra State Board of Secondary and Higher Secondary Education or MSBSHSE (Marathi: \u092e\u0939\u093e\u0930\u093e\u0937\u094d\u091f\u094d\u0930 \u0930\u093e\u091c\u094d\u092f \u092e\u093e\u0927\u094d\u092f\u092e\u093f\u0915 \u0906\u0923\u093f \u0909\u091a\u094d\u091a \u092e\u093e\u0927\u094d\u092f\u092e\u093f\u0915 \u0936\u093f\u0915\u094d\u0937\u0923 \u092e\u0902\u0921\u0933), is an&nbsp;<strong>autonomous and statutory body established in 1965<\/strong>. The board was amended in the year 1977 under the provisions of the Maharashtra Act No. 41 of 1965.<\/p>\n\n\n\n<p>The Maharashtra State Board of Secondary &amp; Higher Secondary Education (MSBSHSE), Pune is an independent body of the Maharashtra Government. There are more than 1.4 million students that appear in the examination every year. The Maha State Board conducts the board examination twice a year. This board conducts the examination for SSC and HSC.&nbsp;<\/p>\n\n\n\n<p>The Maharashtra government established the Maharashtra State Bureau of Textbook Production and Curriculum Research, also commonly referred to as Ebalbharati, in 1967 to take up the responsibility of providing quality textbooks to students from all classes studying under the Maharashtra State Board. MSBHSE prepares and updates the curriculum to provide holistic development for students. It is designed to tackle the difficulty in understanding the concepts with simple language with simple illustrations. Every year around 10 lakh students are enrolled in schools that are affiliated with the Maharashtra State Board.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Read More<\/h2>\n\n\n\n<ul class=\"wp-block-yoast-seo-related-links\"><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-11-maths-chapter-20-geometric-progressions\/\">RD Sharma Solutions for Class 11 Maths Chapter 20\u2013Geometric Progressions<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-11-maths-chapter-21-some-special-series\/\">RD Sharma Solutions for Class 11 Maths Chapter 21\u2013Some Special Series<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/rd-sharma-solutions-for-class-7-maths-chapter-6-exponents\/\">RD Sharma Solutions for Class 7 Maths: Chapter 6\u2013Exponents<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/maharashtra-board-solutions-class-11-arts-science-maths-part-1-chapter-4-determinants-and-matrices\/\">Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 1): Chapter 4- Determinants and Matrices<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/maharashtra-board-solutions-class-11-arts-science-maths-part-1-chapter-3-trigonometry-ii\/\">Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 1): Chapter 3- Trigonometry \u2013 II<\/a><\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-indcareer-board-book-solutions-app\">IndCareer Board Book Solutions App<\/h2>\n\n\n\n<p>IndCareer Board Book App provides complete study materials for students from classes 1 to 12 of Board. The App contains complete solutions of NCERT books, notes, and other important materials for students. Download the IndCareer Board Book Solutions now.<a rel=\"noreferrer noopener\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=com.numetive.studytime\" target=\"_blank\"><\/a><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"512\" height=\"154\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2020\/12\/android-play-e1608060178745.png\" alt=\"android-play\" class=\"wp-image-65844\" srcset=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2020\/12\/android-play-e1608060178745.png 512w, https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2020\/12\/android-play-e1608060178745-300x90.png 300w\" sizes=\"auto, (max-width: 512px) 100vw, 512px\" \/><figcaption>Download Android App for Board Book Solutions<\/figcaption><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Class 11: Maths Chapter 2 solutions. Complete Class 11 Maths Chapter 2 Notes. Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series Maharashtra Board 11th Maths Chapter 2, Class 11 Maths Chapter 2 solutions Ex. 2.1 Question 1.Check whether the following sequences are G.P. If so, write tn.(i) 2, [&hellip;]<\/p>\n","protected":false},"author":302,"featured_media":563467,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"newspack_featured_image_position":"","newspack_post_subtitle":"","newspack_article_summary_title":"Overview:","newspack_article_summary":"","newspack_hide_updated_date":false,"newspack_show_updated_date":false,"footnotes":""},"categories":[1411,919,22],"tags":[2078,2128],"boards":[1318],"class_list":["post-563389","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-book-solutions","category-class-11","category-maharashtra","tag-english-medium","tag-msbshse-maths-class-11","boards-msbshse","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.0 (Yoast SEO v27.1.1) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Maharashtra Board for Class 11, Maths Chapter 2 - IndCareer Schools<\/title>\n<meta name=\"description\" content=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series | MSBSHSE 11 IndCareer Schools\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.indcareer.com\/schools\/maharashtra-board-solutions-class-11-arts-science-maths-part-2-chapter-2-sequences-and-series\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Maharashtra Board Solutions Class 11-Arts &amp; Science Maths (Part 2): Chapter 2- Sequences and Series\" \/>\n<meta property=\"og:description\" content=\"Class 11: Maths Chapter 2 solutions. Complete Class 11 Maths Chapter 2 Notes. 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