NCERT Solution For Class 11 Maths Chapter 4 - Principle of Mathematical Induction

NCERT Solutions For Class 11 Maths Chapter 4 PDF Free Download

The NCERT solutions for the questions given in Chapter 4, Principle of Mathematical Induction, of the Class 11 NCERT textbooks are available here. In this chapter, students learn about the Principle of Mathematical Induction in detail. Students can easily score full marks by solving all the questions present in the NCERT textbook.

The Class 11 NCERT solutions for chapter 4 – Principle of Mathematical Induction are very easy to understand. These solutions cover all the exercise questions included in the book and are according to the latest guidelines of CBSE. Here, the PDF of the Class 11 Maths Chapter 4 NCERT solutions is available which can be downloaded and referred in online mode. Students can also avail these NCERT solutions and download it for free to practice them offline as well.

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NCERT Solutions for Class 11 Maths Chapter 4- Principle of Mathematical Induction

The major concepts of Maths covered in Chapter 4 – Principle of Mathematical Induction of NCERT Solutions for Class 11 includes:

4.1 Introduction

4.2 Motivation

4.3 The Principle of Mathematical Induction:

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

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

Exercise 4.1 Solutions 24 Questions

NCERT Solutions for Class 11 Maths Chapter 4- Principle of Mathematical Induction

The chapter Principle of Mathematical Induction belongs to the unit Algebra, that adds up to 30 marks of the total, 80 marks. This chapter has only one exercise which will help students in understanding the concepts related to the Principle of Mathematical Induction clearly. Some of the topics discussed in Chapter 4 of NCERT Solutions for Class 11 Maths are as follows:

  1. One key basis for mathematical thinking is deductive reasoning. In contrast to deduction, inductive reasoning depends on working with different cases and developing a conjecture by observing incidences until we have observed each and every case. Thus, in simple language we can say the word ‘induction’ means the generalization from particular cases or facts
  2. The principle of mathematical induction is one such tool which can be used to prove a wide variety of mathematical statements. Each such statement is assumed as P(n) associated with positive integer n, for which the correctness of the case n = 1 is examined. Then assuming the truth of P(k) for some positive integer k, the truth of P (k+1) is established.

Key Features of NCERT Solutions for Class 11 Maths Chapter 4- Principle of Mathematical Induction

Studying the Principle of Mathematical Induction of Class 11 enables the students to understand the process of the proof by induction, motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers. Students also get to know the principle of mathematical induction and its applications.

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