Class 11th Chapter -4 Principle of Mathematical Induction | NCERT Maths Solution | NCERT Solution | Edugrown

In This Post we are  providing Chapter – 4 Principle of Mathemarical Induction NCERT Solutions for Class 11 Maths which will be beneficial for students. These solutions are updated according to 2021-22 syllabus. These  Class 11  Principle of Mathemarical Induction solutions can be really helpful in the preparation of Board exams and will provide you with in depth detail of the chapter.

We have solved every question stepwise so you don’t have to face difficulty in understanding the solutions. It will also give you concepts that are important for overall development of students. Class 11 Maths  Principle of Mathemarical Induction NCERT Written Solutions  will be useful in higher classes as well because variety of questions related to these concepts can be asked so you must study and understand them properly.

Class 11th Chapter 4 Principle of Mathemarical Induction| NCERT MATHS SOLUTION |

Chapter 4 Principle of Mathemarical Induction EX 4.1 NCERT Solutions

Prove the following by using the principle of mathematical induction for aline n ∈ N :
Ex 4.1 Class 11 Maths Question 1.

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

Ex 4.1 Class 11 Maths Question 2.

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

Ex 4.1 Class 11 Maths Question 3.

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

Ex 4.1 Class 11 Maths Question 4.

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

Ex 4.1 Class 11 Maths Question 5.

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

Ex 4.1 Class 11 Maths Question 6.

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

Ex 4.1 Class 11 Maths Question 7.

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

Ex 4.1 Class 11 Maths Question 8.

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

Ex 4.1 Class 11 Maths Question 9

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

Ex 4.1 Class 11 Maths Question 10.

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

Ex 4.1 Class 11 Maths Question 11.

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

Ex 4.1 Class 11 Maths Question 12.

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

Ex 4.1 Class 11 Maths Question 13.

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

Ex 4.1 Class 11 Maths Question 14.

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

Ex 4.1 Class 11 Maths Question 15.

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

Ex 4.1 Class 11 Maths Question 16.

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

Ex 4.1 Class 11 Maths Question 17.

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

Ex 4.1 Class 11 Maths Question 18.

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

Ex 4.1 Class 11 Maths 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.

Ex 4.1 Class 11 Maths Question 20.
 is divisible by 11.
Solution.
Let the given statement be P(n), i.e.,
P(n):  is divisible by 11

Ex 4.1 Class 11 Maths Question 21.
 is divisible by x + y.
Solution.
Let the given statement be P(n), i.e.,
P(n):  is divisible by x + y.

Ex 4.1 Class 11 Maths Question 22.
 is divisible by 8.
Solution.
Let the given statement be P(n), i.e.,
P(n):  is divisible by 8.

Ex 4.1 Class 11 Maths Question 23.
 is a multiple of 27.
Solution.
Let the given statement be P(n), i.e.,
P(n):  is a multiple of 27.

Ex 4.1 Class 11 Maths 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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