let-give-w-e-i-2pi-n-calculate-k-0-n-1-1-w-k-n-

Tinku Tara June 4, 2023 Algebra 0 Comments

Question Number 28165 by abdo imad last updated on 21/Jan/18

let give w= e^(i((2π)/n)) calculate Σ_(k=0) ^(n−1) (1+w^k )^n .

$${let}\:{give}\:{w}=\:{e}^{{i}\frac{\mathrm{2}\pi}{{n}}} \:\:\:{calculate}\:\:\sum_{{k}=\mathrm{0}} ^{{n}−\mathrm{1}} \left(\mathrm{1}+{w}^{{k}} \right)^{{n}} \:. \\ $$

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