NCERT Books Free Download for Class 11 Maths Chapter 4 - Principle of Mathematical Induction

About the Chapter

Concerning the chapter, Principle of Mathematical Induction, the term inductive reasoning can be used to explain what the chapter deals with. This type of reasoning tends to work along with each case thereby creating an assumption over the various incidences. On the other hand, another term that you shall frequently come across while practicing the chapter is deduction, which refers to the questions that insist upon the application of a general case over a particular case.

The basic idea of the chapter, Principle of Mathematical Induction, deals with proving various kinds of statements, which are in the form of variables, to be something. It helps the students deal with logic.

The chapter consists of a single exercise that consists of around 24 questions for practice. The level of difficulty may vary from easy, to moderate, to difficult. But a clear understanding with the help of NCERT books may help the students to solve each question without much difficulty.

Advantages of NCERT Books

The NCERT books provide ample explanation for the students to overcome any doubt they might face while practicing the chapter. The questions are provided with explained solutions to help the students understand and learn from their mistakes. A list of formulas and theorems that make up the core of the chapter is also provided for the comfort and easy revision of the students. The students are therefore advised to go through the information that is provided to them and solve each question thoroughly and sincerely. The revision of formulas and theorems and other basic concepts is advised to be undergone on a regular basis to find clarity in the concepts and keep the formulas refreshed in the memory.

The NCERT books for Class 11, Chapter 4, Principle of Mathematical Induction provides a short introduction to explain the concept of deductive reasoning, and the principle of mathematical induction, along with motivation. The NCERT also provides a list of formulas and concepts to help the understanding of students.

In general, to solve the questions relating to mathematical induction, two steps can be used. These two steps include a base step wherein, the given statement involved in the question is to be proved true for the given initial value, and the second step involves proving the same statement true for some value given in terms of a variable. However, to prove whether a statement stands true for a certain case we will require the formulas mentioned in the chapter that may help the students to solve different types of questions.