Question

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

• A. Positive
• B. Negative
• C. Zero
• D. Cannot be determined

Answer 1

The correct option is D

Cannot be determined

S = $1+i^2+i^4+i^6+..........+i^{2n}$ = 1-1+1-1 + ...... + $(-1{)}^n$

Obviously it depends on n.

Hence cannot be determined unless n is known.