NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction: In this chapter, you will learn a mathematical technique that can be used to prove a theorem, formula or statement true for every natural number. It is called mathematical induction. In this article, you will get NCERT solutions for class 11 maths chapter 4 principle of mathematical induction. This chapter starts with an introduction to deductive and inductive reasoning.
Deductive reasoning uses some statement of facts and deducts another fact.
For example, consider the following statements a and b are true
a) All men are mortal
b) Raju is a man
From the above two statements we can deduct the fact c) Raju is mortal that is using a and b, c is established.
In inductive reasoning, we look for a pattern and obtaining a conclusion. That is induction means generalization from particular cases. For example, if we have data on the population of a city for the last 10 years. Based on the trend of population growth in the last 10 years we can predict the population of the next coming 2 years. This problem comes under induction. In CBSE NCERT solutions for class 11 maths chapter 4 principle of mathematical induction, you will learn a two-step process to prove any formula, statement or theorem. There are 24 problems in this chapter. All these problems are explained in solutions of NCERT for class 11 maths chapter 4 principle of mathematical induction in a step-by-step manner. It will be very easy for you to understand the concepts. Check all NCERT solutions from class 6 to 12 to learn CBSE science and maths.
4.3 The Principle of Mathematical Induction