Question

Find the value of 1+i2 +i4+i6+i8____+i20

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Answer 1

ANSWER

1+i

2

+i

4

+i

6

+i

8

+i

10

+i

12

+i

14

+i

16

+i

18

+i

20

=1+(−1)+1+(−1)+1+(−1)+1+(−1)+1+(−1)+1

=1 (Ans)

Formula:

i

2

=−1 and i

4

=1