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Question

1+i2+i4+i6+..........+i2n is


A

Positive

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B

Negative

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C

Zero

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D

Cannot be determined

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Solution

The correct option is D

Cannot be determined


S = 1+i2+i4+i6+..........+i2n = 1-1+1-1 + ...... + (1)n

Obviously it depends on n.

Hence cannot be determined unless n is known.


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