Question

find value of i+i²+i³+i⁴+i^448
wrong Answer will be reported​

Answer 1

Answer:

i^458

Step-by-step explanation:

i^1+2+3+4+448= i^458

Answer 2

Answer:

We know,

i = √( — 1)

And

i² = {√(— 1)}² = — 1

i³ = i² . i = (— 1). I = — i

i⁴ = (i²)² = ( — 1)² = + 1

i⁵ = i⁴ . i = + 1 . i = i

i⁶ = (i⁴) (i²) = (+ 1).(— 1) = (—1)

i⁷ = i⁶. i = (—1) .I = — i

i⁸ = (i⁴)² = (+1)² = + 1

i + i² + i³ + i⁴ = i — 1 — i + 1 = 0

Similarly

i⁵ + i⁶ + i⁷ + i⁸ = i — 1 — i + 1 = 0

Therefore

i + i² + i³ + i⁴ + i⁵ + i⁶ + i⁷ + i⁸ = 0 + 0 = 0