Chapter 4 Principle of Mathematical Induction

NCERT Solutions for class 11 Maths Chapter 4 Principle of Mathematical Induction

This page consists of NCERT Solutions for class 11 Maths Chapter 4 Principle of Mathematical Induction prepared by HT experts. All the questions asked in Chapter 4 Principle of Mathematical Induction are solved with detailed explanations. MCQ questions of Chapter 4 Principle of Mathematical Induction are covered in this solution. 

What will you learn in Chapter 4 Principle of Mathematical Induction?

The word ‘induction’ means the generalization from particular cases or facts. The principle of mathematical induction is one such tool which can be used to prove a wide variety of mathematical statements. In this chapter, we will understand the principle of mathematical induction and will practice how to prove a mathematical statement with help of a principle.

The Principle of Mathematical Induction:

Suppose there is a given statement P(n) involving the natural number n such that 

(i) The statement is true for n = 1, i.e., P(1) is true, and 

(ii) If the statement is true for n = k (where k is some positive integer), then the statement is also true for n = k + 1, i.e., the truth of P(k) implies the truth of P (k + 1). 

Then, P(n) is true for all natural numbers n.

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