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

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-

Let omega is an imaginary cube root of unity then the value of 2(1+omega)(1+omega^(2))+ 3(2 omega+1)(2 omega^(2)+1)+... +(n+1)(n omega+1)(n omega^(2)+1) is

If omega is a cube root of unity, then find the value of the following: (1+omega-omega^2)(1-omega+omega^2)