let-put-w-e-i-2pi-n-find-k-1-n-x-w-k-n-2-find-k-1-n-n-x-w-k-n-1-

Question Number 30501 by abdo imad last updated on 22/Feb/18

l e t p u t w = e^{i \frac{2 π}{n}} f i n d \sum_{k = 1}^{n} {(x + w^{k})}^{n}

2) f i n d \sum_{k = 1}^{n} n {(x + w^{k})}^{n - 1} .