NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction are part of NCERT Solutions for Class 11 Maths. Here we have given NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction.

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 11 |

Subject |
Maths |

Chapter |
Chapter 4 |

Chapter Name |
Principle of Mathematical Induction |

Exercise |
Ex 4.1 |

Number of Questions Solved |
24 |

Category |
NCERT Solutions |

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

**NCERT Exercises**

### Chapter 4 Principle of Mathematical Induction Exercise – 4.1

Prove the following by using the principle of mathematical induction for aline n ∈ N :

**Question 1.**

**Solution.**

Let the given statement be P(n) i.e.,

P(n) :

**Question 2.**

**Solution.**

Let the given statement be P(n) i.e.,

P(n) :

**Question 3.**

**Solution.**

Let the given statement be P(n), i.e.,

P(n) :

**Question 4.**

**Solution.**

Let the given statement be P(n), i.e.,

P(n) :

**Question 5.**

**Solution.**

Let the given statement be P(n), i.e.,

P(n) :

**Question 6.**

**Solution.**

Let the given statement be P(n), i.e.,

P(n) :

**Question 7.**

**Solution.**

Let the given statement be P(n), i.e.,

P(n) :

**Question 8.**

**Solution.**

Let the given statement be P(n), i.e.,

P(n) :

**Question 9**

**Solution.**

Let the given statement be P(n), i.e.,

P(n) :

**Question 10.**

**Solution.**

Let the given statement be P(n), i.e.,

P(n) :

**Question 11.**

**Solution.**

Let the given statement be P(n), i.e.,

P(n) :

**Question 12.**

**Solution.**

Let the given statement be P(n), i.e.,

P(n) :

**Question 13.**

**Solution.**

Let the given statement be P(n), i.e.,

P(n) :

**Question 14.**

**Solution.**

Let the given statement be P(n), i.e.,

P(n) :

**Question 15.**

**Solution.**

Let the given statement be P(n), i.e.,

P(n) :

**Question 16.**

**Solution.**

Let the given statement be P(n), i.e.,

P(n) :

**Question 17.**

**Solution.**

Let the given statement be P(n), i.e.,

P(n) :

**Question 18.**

**Solution.**

Let the given statement be P(n), i.e.,

P(n) :

**Question 19.**

n(n+1 )(n + 5) is a multiple of 3.

**Solution.**

Let the given statement be P(n), i.e.,

P(n): n(n + l)(n + 5) is a multiple of 3.

**Question 20.**

is divisible by 11.

**Solution.**

Let the given statement be P(n), i.e.,

P(n): is divisible by 11

**Question 21.**

is divisible by x + y.

**Solution.**

Let the given statement be P(n), i.e.,

P(n): is divisible by x + y.

**Question 22.**

is divisible by 8.

**Solution.**

Let the given statement be P(n), i.e.,

P(n): is divisible by 8.

**Question 23.**

is a multiple of 27.

**Solution.**

Let the given statement be P(n), i.e.,

P(n): is a multiple of 27.

**Question 24.**

**Solution.**

Let the given statement be P(n), i.e.,

P(n):

First we prove that the statement is true for n = 1.

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