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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

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

2: +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