If `omega` is a cube root of unity then the value of the expression `2(1+w)(1+w^2)+3(1+w)(1+w^2)+.....+(n+1)(n+w)(n+w^2)`

If omega is an imaginary cube root of unity. Find the value of the expression 1(2- omega)(2-omega^(2))+2(3-omega) +...+ (n-1)(n-omega)(n-omega^(2)) .

If omega is a complex cube root of unity,then the value of the expression 1(2-omega)(2-omega^(2))+2(3-omega)(3-omega^(2))+...+(n-1)(n-omega)(n-omega^(2))(n-omega^(2))(n>=2) is equal to (A) (n^(2)(n+1)^(2))/(4)-n( B) (n^(2)(n+1)^(2))/(4)+n( C) (n^(2)(n+1))/(4)-n(D)(n(n+1)^(2))/(4)-n

If omega(!=1) is a cube root of unity,then the sum of the series S=1+2 omega+3 omega^(2)+....+3n omega^(3n-1) is

If omega is an imaginary cube root of unit,then the value of the expression (1+1/omega)(1+1/omega^2)+(2+1/omega)(2+1/omega^2)+(3+1/omega)(3+1/omega^2) +...+ (n+1/omega)(n+1/omega^2) is

If omega is a complex cube root of unity then the value of (1+omega)(1+omega^(2))(1+omega^(4)).......2n terms-

If omega is an imaginary cube root of unity, then the value of (1)/(1+2omega)+(1)/(2+omega)-(1)/(1+omega) is :

If omega is the cube root of unity, then then value of (1 - omega) (1 - omega^(2))(1 - omega^(4))(1 - omega^(8)) is

If w is an imaginary cube root of unity then prove that If w is a complex cube root of unity , find the value of (1+w)(1+w^2)(1+w^4)(1+w^8)..... to n factors.