Given-that-is-a-complex-number-7-1-1-find-the-value-of-1-2-3-4-5-6-

Question Number 143970 by ZiYangLee last updated on 20/Jun/21

Given that ω is a complex number,

ω^{7} = 1, ω \neq 1, find the value of

ω^{1} + ω^{2} + ω^{3} + ω^{4} + ω^{5} + ω^{6} .

Answered by Rasheed.Sindhi last updated on 20/Jun/21

S u m o f a l l t h e n t h r o o t s = 0

1 + ω^{1} + ω^{2} + ω^{3} + ω^{4} + ω^{5} + ω^{6} = 0

ω^{1} + ω^{2} + ω^{3} + ω^{4} + ω^{5} + ω^{6} = - 1