Question

Prove that i^50 + i^100 + i^150 + i^200 = 0​

Answer 1

Answer:

Hey mate! Here's your answer:

Step-by-step explanation:

i⁵⁰ = -1 (Remainder 2).

i¹⁰⁰ = 1 (Remainder 0).

i¹⁵⁰ = -1 (Remainder 2).

i²⁰⁰ = 1 (Remainder 0).

i⁵⁰ + i¹⁰⁰ + i¹⁵⁰ + i²⁰⁰ = -1 + 1 + (-1) + 1 = 0.

Hence proved!

HOPE IT HELPS YOU! :):):)