If `1;w;w^2` are cube root of unity and n is a positive integer;then `1+w^n+w^(2n)` = {3; When n is multiple of 3; 0; when n is not a multiple of 3

If omega is a cube root of unity and n is a positive integer which is not a multiple of 3, then show that (1 + omega^(n) + omega^(2n))= 0

If omega is a cube root of unity, then 1+omega = …..

If omega is a cube root of unity, then 1+ omega^(2)= …..

If omega is a cube root of unity, then omega^(3) = ……

If 1, omega, omega^(2) are the cube roots of unity, prove that omega^(n) + omega^(2n) =2 or -1 according as n is a multiple of 3 or any other integer.

If 1,omega,omega^2 are the cube roots of unity, then /_\ is equal to.....

If 1, omega, omega^(2) are three cube roots of unity, prove that (1- omega) (1- omega^(2))= 3

If omega is a cube root of unity, then omega + omega^(2)= …..

If 1, omega, omega^(2) are three cube roots of unity, prove that (1 + omega^(2))^(4)= omega