NCERT Exemplar Class 11 Maths Chapter 4: Principle of Mathematical Induction. NCERT Exemplar Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction prepare students for their Class 11 exams thoroughly.
Maths problems and solutions for the Class 11 pdf are provided here which are similar to the questions being asked in the previous year’s board.
Contents
- 1 NCERT Exemplar Class 11 Maths Chapter 4: Principle of Mathematical Induction
- 1.1 Short Answer Type Questions (Solved Examples)
- 1.2 Long Answer Type Questions (Solved Examples)
- 1.3 Objective Type Questions (Solved Examples)
- 1.4 Short Answer Type Questions (Exercise)
- 1.5 Long Answer Type Questions (Exercise)
- 1.6 Objective Type Questions (Exercise)
- 1.7 Fill In Blanks Type Questions (Exercise)
- 1.8 True or False Statements Type Questions (Exercise)
- 2 Answers
NCERT Exemplar Class 11 Maths Chapter 4: Principle of Mathematical Induction
Class 11: Maths Chapter 4 solutions. Complete Class 11 Maths Chapter 4 Notes.
4.1 Overview
Mathematical induction is one of the techniques which can be used to prove variety of mathematical statements which are formulated in terms of n, where n is a positive integer.
4.1.1 The principle of mathematical induction
Let P(n) be a given statement involving the natural number n such that
(i) The statement is true for n = 1, i.e., P(1) is true (or true for any fixed natural number) and
(ii) If the statement is true for n = k (where k is a particular but arbitrary natural number), then the statement is also true for n = k + 1, i.e, truth of P(k) implies the truth of P(k + 1). Then P(n) is true for all natural numbers n.
Short Answer Type Questions (Solved Examples)
Long Answer Type Questions (Solved Examples)
Objective Type Questions (Solved Examples)
Short Answer Type Questions (Exercise)
Long Answer Type Questions (Exercise)
Objective Type Questions (Exercise)
Fill In Blanks Type Questions (Exercise)
True or False Statements Type Questions (Exercise)
Answers
