NCERT Exemplar Class 11 Maths Unit 4 Principle of Mathematical Induction

Candidates can download NCERT Exemplar Class 11 Maths Unit 4 from this page. The exemplar has been provided by the National Council of Educational Research & Training (NCERT) and the candidates can check it from below for free of cost. It contains objective, very short answer type, short answer type, and long answer type questions. Along with it, the answer for each question has also been provided. From the NCERT Exemplar Class 11 Maths Unit 4, candidates can understand the level and type of questions that are asked in the exam.

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NCERT Exemplar Class 11 Maths Unit 4 Principle of Mathematical Induction

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NCERT Exemplar Class 11 Maths Unit 4 is for Principle of Mathematical Induction. The type of questions that will be asked from NCERT Class 11 Maths Unit 4 are displayed in the below provided NCERT Exemplar Class 11 Maths Unit 4. With the help of it, candidates can prepare well for the examination.

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.