If \( \alpha \) is an \( n^{\text {th }} \) roots of unity, then \( 1+2 \alpha+3 \alpha^{2}+\ldo...

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If \( \alpha \) is an \( n^{\text {th }} \) roots of unity, then
\( 1+2 \alpha+3 \alpha^{2}+\ldots+n \alpha^{n-1} \) equals
(A) \( \frac{n}{1-\alpha} \)
(B) \( -\frac{n}{1-\alpha} \)
(C) \( -\frac{n}{(1-\alpha)^{2}} \)
(D) none of these
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