find value of i+i²+i³+i⁴+i^448
wrong Answer will be reported
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find value of i+i²+i³+i⁴+i^448
wrong Answer will be reported
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Verified answer
Answer:
i^458
Step-by-step explanation:
i^1+2+3+4+448= i^458
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