Find the value of following expression: 1 + i 2 + i 4 + i 6 + i 8 + ... + i 20

Question

Philoid · Accepted Answer

1 + i² + i⁴ + i⁶ + i⁸ + ... + i²⁰ = 1 + (– 1) + 1 + (– 1) + 1 + ... + 1

= 1