Question

What is the value of 1+i2+i4+i6.....i100, where I=root-

Answer 1

Step-by-step explanation:

i=√-1

i²= -1

i⁴=1

i⁶= -1

i⁸=1

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i⁹⁸= -1

i¹⁰⁰=1

1+[i²+i⁴+i⁶+i⁸+............…..+i⁹⁸+i¹⁰⁰]

1+[(-1)+1+(-1)+1+(-1)+1+......+(-1)+1]

1+[0+0+0+0+.............+0+0]

1