NCERT Exemplar Class 10 Maths Chapter 5: Arithmetic Progressions. NCERT Exemplar Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions prepare students for their Class 10 exams thoroughly.

Maths problems and solutions for the Class 10 pdf are provided here which are similar to the questions being asked in the previous year’s board.

Contents

- 1 NCERT Exemplar Class 10 Maths Chapter 5: Arithmetic Progressions
- 1.1 Multiple Choice Questions (Solved Examples)
- 1.2 Multiple Choice Questions (Exercise)
- 1.3 Short Answer Questions with Reasoning (Solved Examples)
- 1.4 Short Answer Questions with Reasoning (Exercise)
- 1.5 Short Answer Type Questions (Solved Examples)
- 1.6 Short Answer Type Questions (Exercise)
- 1.7 Long Answer Type Questions (Solved Examples)
- 1.8 Long Answer Type Questions (Exercise)

- 2 Answers

**NCERT Exemplar Class 10 Maths Chapter 5: Arithmetic Progressions**

Class 10 : Maths Chapter 5 solutions. Complete Class 10 Maths Chapter 5 Notes.

**(A) Main Concepts and Results**

- An arithmetic progression (AP) is a list of numbers in which each term is obtained by adding a fixed number d to the preceding term, except the first term a. The fixed number d is called its common difference. The general form of an AP is a, a + d, a + 2d, a + 3d,…
- In the list of numbers a
_{1}, a_{2}, a_{3},… if the differences a_{2}– a_{1}, a_{3}– a_{2}, a_{4}– a_{3},… give the same value, i.e., if a_{k+1}– a_{k}is the same for different values of k, then the given list of numbers is an AP. - The nth term a
_{n}(or the general term) of an AP is a_{n}= a + (n – 1) d, where a is the first term and d is the common difference. Note that a_{1}= a . - The sum S
_{n}of the first n terms of an AP is given by

If l is the last term of an AP of n terms, then the sum of all the terms can also be given by

Sometimes S_{n} is also denoted by S.

- If f S
_{n}is the sum of the first n terms of an AP, then its nth term a_{n}is given by