Content Curator
NCERT Solutions for class 11 mathematics Chapter 4 Principles of Mathematical Induction are given in the article. Mathematical Induction is a technique of proving a statement, theorem or formula which is assumed to be true, for each and every natural number n. Important concepts covered in the article are Complex Numbers, Complex Numbers and Quadratic Equations, and Algebraic Operations On Complex Numbers.
Download: NCERT Solutions for Class 11 Mathematics Chapter 4 pdf
Class 11 Maths NCERT Solutions Chapter 4 Principles of Mathematical Induction
Class 11 Maths NCERT Solutions Chapter 4 Principles of Mathematical Induction are as below:
Also check: Principles of Mathematical Induction Important Questions
Important Topics: Class 11 Maths Chapter 4 Principles of Mathematical Induction
Class 11 Maths NCERT Solutions Chapter 4 Principles of Mathematical Induction cover the key steps to prove a theorem. These are as follows:
- Base step: To prove P(1) is true.
- Assumption step: Assume that P(k) is true for some k in N.
- Induction step: Prove that P(k+1) is true.
After proving these 3 steps, it can be concluded that "By the principle of mathematical induction, P(n) is true for all n in N". The assumption that we make in the second step that P(n) holds for some natural number n = k is called induction hypothesis.
Please note: As per Class 11 Maths Updated Syllabus 2022-23, Chapter 4 Principles of Mathematical Induction has been omitted.
Also check:
Comments