If (1 + x) (1+ x + x2)(1 + x + x2 + x3).......... (1 + x + …

Maths Binomial Theorem & Mathematical Induction Mix Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 14, 2026

If (1 + x) (1+ x + x2)(1 + x + x2 + x3).......... (1 + x + x2 + x3 +...+ xn) = a0 + a1x + a2x2 + ....+ amxm then

n + 1!

Text Solution

Verified by Experts

The correct answer is:

(1 + x) (1 + x + x2) (1+ x + x2 + x3) ....

(1 + x + x2 +....xn)

= a0 + a1x + a2x2 +.....+amxm

substituting x = 1

1 × (2) (3) (4)........ (n) = n!

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