The coefficient of \( x^{n} \) in the expansion of \( \left(1-2 x+3 x^{2}-4 x^{3}+\ldots\right)^...

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The coefficient of \( x^{n} \) in the expansion of \( \left(1-2 x+3 x^{2}-4 x^{3}+\ldots\right)^{-n} \)
(A) 1
(B) \( (-1)^{\pi} \)
(C) \( n \)
(D) \( n+1 \)
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