Integral part of (7 + 2 ) 2n+1 is (n ∈ N)-

Maths Binomial Theorem & Mathematical Induction Mix Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

An even number

An odd number

Even or odd depends on n

None of these

Text Solution

Verified by Experts

The correct answer is:

I + f + F = (7 + 2 ) 2n+1 + (7 – 2 ) 2n+1

= 2

= Even integer

F = –k (because F < 0)

So I + f – k = even integer [  f –k ⇒ 0]

So I ⇒ even integer

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