1+i^2+i^4+i^6+ . .+i^ 2 n is - Vidyadip

MCQ

$1+i^2+i^4+i^6+\ldots . .+i^{2 n}$ is

A
Positive
B
Negative
C
Zero
✓
Cannot be determined

✓

Answer

Correct option: D.

Cannot be determined

(D)
$1+ i ^2+ i ^4+\ldots \ldots+ i ^{2 n }$
$=1-1+1-1+\ldots \ldots+(-1)^n$
It depends on n .
Hence, cannot be determined unless n is known.

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