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Question 34

Mathematics Binomial Theorem Hard

The coefficient of x<sup>n</sup>&nbsp;in the expansion of (1 - 2x + 3x<sup>2</sup> - 4x<sup>3</sup> + ... to&nbsp;&infin;)<sup>-n</sup> is

(A) <span class="math-tex">\(\dfrac{(2n)!}{n!(n-1)!}\)</span>
(B) <span class="math-tex">\(\dfrac{(2n)!}{[(n-1)!]^2}\)</span>
(C) <span class="math-tex">\(\dfrac{(2n)!}{(n!)^2}\)</span>
(D) none of these
View Dynamic Solution & Explanation ▼
Correct Solution: Option C

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