When P is a natural number, then is divisible by | CGP Edu

Maths Binomial Theorem & Mathematical Induction Mix Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

When P is a natural number, then is divisible by

A

P

B

C

D

Text Solution

Verified by Experts

The correct answer is:

For n =1, we get,

,

Which is divisible by , so result is true for n =1

Let us assume that the given result is true for

i.e. is divisible by i.e. …..(i)

Now.

by using (i)

Which is divisible by , so the result is true for . Therefore, the given result is true for all by induction.

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