The smallest positive integer n , for which hold is | CGP Edu

Maths Binomial Theorem & Mathematical Induction Multinomial Theorem, Terms Free From Radical Sign in the Expansion of (A1/P + B1/Q), Problems Regarding to Three / Four Consecutive Terms or Coefficients Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 14, 2026

The smallest positive integer n , for which hold is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct answer is:

Let P ( n ) :

Step I : For n = 2

which is true. Therefore, P (2) is true.

Step II : Assume that P ( k ) is true, then p ( k ) :

Step III : For n = k + 1,

…..(i) and

…..(ii)

Which is true, hence (ii) is true.

From (i) and (ii),

Hence is true. Hence by the principle of mathematical induction P ( n ) is true for all

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