Maths Binomial Theorem & Mathematical Induction JEE Advanced Previous Years Question Single Correct MCQ
Published on: August 13, 2026

If x is positive, the first negative term in the expansion of is :

A
7th term
B
5th term
C
8th term
D
6th term.

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Text Solution

Verified by Experts
The correct answer is:
C

(r + 1) th term in the expansion of (1 + x) 27/5

=

Now this term will be negative, if the last factor in numerator is the only negative factor.

– r + 1 < 0 ⇒ < r

⇒ 6.4 < r ⇒ least value of r is 7.

Thus first negative term will be 8th.

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