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

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

Topics and Sub Topics in Class 11 Maths Chapter 4 Principle of Mathematical Induction:

Section Name	Topic Name
4	Principle of Mathematical Induction
4.1	Introduction
4.2	Motivation
4.3	The Principle of Mathematical Induction

NCERT Solutions for Class 11 Maths Chapter 4 Exercise 4.1

Ex 4.1 Class 11 Maths Question 1:

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Prove the following through the principle of mathematical induction for all values of n, where n is a natural number.

1) 1+3+3²+….+3^n-1=\(\frac { { (3 }^{ n }-1) }{ 2 } \)

2: 1³+2³+3³+……+n³ = \({ (\frac { n(n+1) }{ 2 } ) }^{ 2 }\)

3: \(1+\frac { 1 }{ 1+2 } +\frac { 1 }{ 1+2+3 } +……+\frac { 1 }{ 1+2+3+…+n } =\frac { 2n }{ n+1 } \)

4: 1.2.3+2.3.4+…+n(n+1)(n+2)= \(\frac { n(n+1)(n+2)(n+3) }{ 4 } \)

5: 1.3+2.32+3.33+…+n.3n

NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Hindi medium Ex 4.1