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Greatest Binomial Coefficients

If i=√ -1 a...

Question

If $i = \sqrt{- 1}$ and $n$ is a positive integer, then $i^{n} + i^{n + 1} + i^{n + 2} + i^{n + 3}$ is equal to

1

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i

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i^{n}

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0

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Solution

The correct option is D $0$
$i^{n} (1 + i + i^{2} + i^{3}) = i^{n} (1 + i - 1 - i) = 0$

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