If (x 2 + x + 1) 100 = c 0 + c 1 x + c 2 x 2 +........ then…

Maths Binomial Theorem & Mathematical Induction Mix Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 14, 2026

If (x 2 + x + 1) 100 = c 0 + c 1 x + c 2 x 2 +........ then the value of c 0 – c 1 + c 2 – c 3 +...........is

2 100

3 100

Text Solution

Verified by Experts

The correct answer is:

Given that (x 2 + x + 1) 100 = c 0 + c 1 x + c 2 x 2 + …..

Put x = –1

(1 – 1 + 1) 100 = c 0 – c 1 + c 2 – ………

⇒ 1 = c 0 – c 1 + c 2 – …………..

Previous Question Next Question

Get practice questions, solutions, and test series in one place.

Share your experience with this question and solution.

Send your comment, doubt, correction, or feedback to admin.

What students say about this solution

No reviews yet. Be the first to write a review.