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Question

i+i2+i3+i4+....+i100 equals:


A

-1

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B

0

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C

1

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D

None

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Solution

The correct option is B

0


Evaluating the given series

i+i2+i3+i4+....+i100

The power of i follows a cyclicity of 4.

Checking up to four powers:

i+i2+i3+i4i-1-i+10

Therefore,

i+i2+i3+i4+....+i100i+i2+i3+i4[upto25times1004=25]0

Hence, the correct answer is Option (B).


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