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

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

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:
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q1
Ans :
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q1.1

NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q1.2

Ex 4.1 Class 11 Maths Question 2:
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q2
Ans :
pmi class 11 ncert solutions in Hindi
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q2.2

NCERT Solutions For Class 11 Maths(Download PDF)

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Ex 4.1 Class 11 Maths Question 3:
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q3
Ans :
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q3.1

NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q3.2

Ex 4.1 Class 11 Maths Question 4:
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q4
Ans :
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q4.1

NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q4.2

Ex 4.1 Class 11 Maths Question 5:
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q5
Ans :
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q5.1
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction-15

Ex 4.1 Class 11 Maths Question 6:
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q6
Ans :
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q6.1
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction-18

Ex 4.1 Class 11 Maths Question 7:
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q7
Ans :
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction-20
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction-21
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q7.3

Ex 4.1 Class 11 Maths Question 8:
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q8
Ans :
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q8.1

NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q8.2

Ex 4.1 Class 11 Maths Question 9:
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q9
Ans :
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction-27
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q9.2

Ex 4.1 Class 11 Maths Question 10:
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q10
Ans :
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q10.1

NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q10.2

Ex 4.1 Class 11 Maths Question 11:
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q11
Ans :
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q11.1

NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q11.2

NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q11.3

Ex 4.1 Class 11 Maths Question 12:
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q12
Ans :
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction-37
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q12.2

Ex 4.1 Class 11 Maths Question 13:
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q13
Ans :
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q13.1

NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q13.2

Ex 4.1 Class 11 Maths Question 14:
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q14
Ans :
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction-43
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q14.2

Ex 4.1 Class 11 Maths Question 15:
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction-45
Ans :
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q15.1

NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q15.2

Ex 4.1 Class 11 Maths Question 16:
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q16
Ans :
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q16.1

NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q16.2

Ex 4.1 Class 11 Maths Question 17:
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q17
Ans :
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q17.1

NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q17.2

Ex 4.1 Class 11 Maths Question 18:
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q18
Ans :
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q18.1

NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q18.2

Ex 4.1 Class 11 Maths Question 19:
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q19
Ans :
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction-58
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction-59

Ex 4.1 Class 11 Maths Question 20:
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q20
Ans :
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q20.1

NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q20.2

Ex 4.1 Class 11 Maths Question 21:
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q21
Ans :
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q21.1

NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q21.2

Ex 4.1 Class 11 Maths Question 22:
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q22
Ans :
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q22.1

NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q22.2

Ex 4.1 Class 11 Maths Question 23:
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q23
Ans :
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q23.1

NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q23.2

Ex 4.1 Class 11 Maths Question 24:
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q24
Ans :
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q24.1

NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction Ex 4.1 Q24.2

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

1) 1+3+3²+….+3n-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

NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction
NCERT Solutions for class 11 Maths chapter 4 Exercise 4.1 in English for cbse and up board
NCERT Solutions for class 11 Maths chapter 4 Exercise 4.1 Hindi medium for 2018-19
NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction
NCERT Solutions for class 11 Maths chapter 4 Exercise 4.1 in English for cbse and up board
11 Maths Chapter 4 Exercise 4.1 in English medium in PDF
11 Maths Chapter 4 Exercise 4.1 in English medium free solutions download
11 Maths Chapter 4 Exercise 4.1 in Hindi Medium
11 Maths Chapter 4 Exercise 4.1 in Hindi Medium in PDF
Exercise 4.1 class 11 Maths solutions in English
Exercise 4.1 class 11 Maths solutions in English medium in PDF
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NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction
NCERT Solutions for class 11 Maths chapter 4 Exercise 4.1 in English for cbse and up board
NCERT Solutions for class 11 Maths chapter 4 Exercise 4.1 Hindi medium for 2018-19
11 Maths Chapter 4 Exercise 4.1 in English medium in PDF
11 Maths Chapter 4 Exercise 4.1 in English medium free solutions download
11 Maths Chapter 4 Exercise 4.1 in Hindi Medium
11 Maths Chapter 4 Exercise 4.1 in Hindi Medium in PDF
NCERT Solutions for Class 11 Maths Chapter 4 Exercise 4.1 in Hindi medium
NCERT Solutions for Class 11 Maths Chapter 4 Exercise 4.1 in English medium
11 Maths Chapter 4 Exercise 4.1 in Hindi Medium

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