**Principles of Mathematical Induction Class 11 Maths NCERT Solutions** are extremely helpful while doing your homework. NCERT Solutions for Class 11 Maths Chapter 4 Principles of Mathematical Induction All Exercises were prepared by Experienced LearnCBSE.in Teachers.

Free download NCERT Solutions for Class 11 Maths Chapter 4** Principles of Mathematical Induction Ex 4.1 and Miscellaneous Exercise** PDF in Hindi Medium as well as in English Medium for CBSE, Uttarakhand, Bihar, MP Board, Gujarat Board, BIE, Intermediate and UP Board students, who are using NCERT Books based on updated CBSE Syllabus for the session 2019-20.

## 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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**NCERT Solutions For Class 11 Maths(Download PDF)**

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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)Â 1+3+3Â²+â€¦.+3 ^{n-1}=\(\frac { { (3 }^{ n }-1) }{ 2 } \)**

**2:Â 1Â³+2Â³+3Â³+â€¦â€¦+nÂ³Â = \({ (\frac { n(n+1) }{ 2 } ) }^{ 2 }\)**

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

**4:Â 1.2.3+2.3.4+â€¦+n(n+1)(n+2)= \(\frac { n(n+1)(n+2)(n+3) }{ 4 } \)**

**5:Â 1.3+2.32+3.33+â€¦+n.3n**

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

### NCERT Solutions for Class 11 Maths All Chapters

- Chapter 1 Sets
- Chapter 2 Relations and Functions
- Chapter 3 Trigonometric Functions
- Chapter 4 Principle of Mathematical Induction
- Chapter 5 Complex Numbers and Quadratic Equations
- Chapter 6 Linear Inequalities
- Chapter 7 Permutation and Combinations
- Chapter 8 Binomial Theorem
- Chapter 9 Sequences and Series
- Chapter 10 Straight Lines
- Chapter 11 Conic Sections
- Chapter 12 Introduction to Three Dimensional Geometry
- Chapter 13 Limits and Derivatives
- Chapter 14 Mathematical Reasoning
- Chapter 15 Statistics
- Chapter 16 Probability