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Question: If i = \(\sqrt{- 1}\)and n is a positive integer, then i<sup>n</sup> + i<sup>n+1</sup> + i<sup>n+2</...

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

A

1

B

I

C

in

D

0

Answer

0

Explanation

Solution

Sol. in + in+1 + in+2 + in+3 = in [1 + i + i2 + i3]

= in[1 + i + (–1) + (–i)] = 0