If \( \alpha \) denotes \( 2020^{\text {th }} \) root of unity then...

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If \( \alpha \) denotes \( 2020^{\text {th }} \) root of unity then
\( \mathrm{P} \) \( 1+2 \alpha+3 \alpha^{2}+\ldots \). upto 2020 terms is equal to:

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(1) \( \frac{2020}{1-\alpha} \)
(2) \( \frac{2021}{1-\alpha} \)
(3) \( \frac{2020}{\alpha-1} \)
(4) \( \frac{2021}{\alpha-1} \)
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