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

Multiple topics have been put under chapter 4 "Principle of Mathematical Induction" of the NCERT Solutions for Class 11th Maths, a few of which prove the induction and driving the applications by making the natural look like the least inductive subset of real numbers. This chapter consists of several problem-solving exercises based on the Principle of Mathematical Induction and its simple applications.

This chapter is said to be a specific technique deployed to prove a few mathematically approved statements' standings in the algebraic world and in some other applications or branches of Mathematics, like deductive and inductive reasoning. Topics that are a part of this chapter have been talked about below.

• Motivation

Using real-life scenarios as examples, mathematical induction is explained under the motivation section to make this technique's basic working clear for the students. Here, the concepts that are required to solve Mathematical Induction sums are explained. Motivation is defined as a process of proving that if for one natural number, the given statement stands true, the same statement also stands true and valid for the remaining 'n' natural numbers.

• The Principle of Mathematical Induction

In this part, the Principle of Mathematical Induction is put through the students with the help of the inductive hypothesis and inductive step. The first principle states that when the inductive step and a base step are accepted as true, a conclusion can be drawn that the primary statement, i.e. P(n) is also true for all the natural numbers./p>