Principle of Mathematical Induction Class 11 CBSE Maths Chapter 4

Class 11 CBSE Maths Syllabus
Chapter 1:Sets
Chapter 2: Relations and Functions
Chapter 3: Trigonometric Functions
Chapter 4: Principles of Mathematical Induction
Chapter 5: Complex Numbers and Quadratic Equations
Chapter 6: Linear Inequalities
Chapter 7: Permutations and Combinations
Chapter 8: Binomial Theorem
Chapter 9: Sequences and Series
Chapter 10: Straight lines
Chapter 11: Conic Sections
Chapter 12: Introduction to 3D
Chapter 13: Limits and Derivatives
Chapter 14: Mathematical Reasoning
Chapter 15: Stastics
Chapter 16: Probability

Introduction

We have provided some important points that are covered in NCERT Class 11 Maths Chapter 4 to help students in their exam preparations. Refer to the list below:

A sentence or description which can be judged to be true or false is called a statement. Statements involving mathematical relations are called mathematical statements.
The proposition or statement P(n) can be proved by the principle of mathematical induction for n∈N as discussed in the following three steps:
- The first step is also termed as the basic step of induction in which we prove that the proposition P(n) is true for the smallest positive integer or the first natural number i.e, for n = 1. This is also called the verification step.
- The next step is the induction step in which the proposition is assumed to be true for some n = k ≥ 1 i.e, we assume P(k) to be true.
- The last step is the generalisation step. If P(k) is true, then the proposition is proved true for n = k + 1 i.e, for the next positive integer or the next natural number.
- Thus, P(n) is true for all n∈N.

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*Chapter 4 Class 11 CBSE Maths Notes PDF

Exercise 4.1

*Ex 4.1 Class 11 CBSE Maths Chapter 4 Solution PDF

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