If 1, α, α^2, α^3, …, α^n-1 are the nth roots of unity, then the val…

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If 1,α,α^2,α^3⋯⋯α^n 1 be the nth root of unity, then 1^P+α^P+(α^2 )^P+(α^3 )^p+⋯⋅(α^(n-1) )^P= If 1,α,α^2,α^3⋯⋯α^n 1 be the nth root of unity, then 1^P+α^P+(α^2 )^P+(α^3 )^p+⋯⋅(α^(n-1) )^P=
If `1,alpha,alpha^2,alpha^3,......,alpha^(n-1)`are `n` `n^(th)` roots of unity, then find the v... If `1,alpha,alpha^2,alpha^3,......,alpha^(n-1)`are `n` `n^(th)` roots of unity, then find the v...
If `1,alpha_(1),alpha_(2),alpha_(3),...,alpha_(n-1)` are n, nth roots of unity, then `(1-alpha_(1)) If `1,alpha_(1),alpha_(2),alpha_(3),...,alpha_(n-1)` are n, nth roots of unity, then `(1-alpha_(1))
If 1,alpha,alpha^2,alpha^3,......,alpha^(n-1)are n n^(th) roots of unity, then find the value of... If 1,alpha,alpha^2,alpha^3,......,alpha^(n-1)are n n^(th) roots of unity, then find the value of...
If `1,alpha_(1),alpha_(2),………..,alpha_(n-1)` are `nk^(th)` roots of unity, then the value of ` If `1,alpha_(1),alpha_(2),………..,alpha_(n-1)` are `nk^(th)` roots of unity, then the value of `
If α≠ 1 is any nth root of unity, then S=1+3 α+5 α^2+… upto n terms is equal to (a) 2 n/1-α (b) -... If α≠ 1 is any nth root of unity, then S=1+3 α+5 α^2+… upto n terms is equal to (a) 2 n/1-α (b) -...
If `1, alpha,alpha^2,.......alpha^(n-1)` are n, `n^(th)` roots ofunity, then `1 + 2alpha+ 3al... If `1, alpha,alpha^2,.......alpha^(n-1)` are n, `n^(th)` roots ofunity, then `1 + 2alpha+ 3al...
If \( 1, \alpha_{1}, \alpha_{2}, \alpha_{3}, \ldots, \alpha_{n-1} \) are \( n, n \)th roots of u... If \( 1, \alpha_{1}, \alpha_{2}, \alpha_{3}, \ldots, \alpha_{n-1} \) are \( n, n \)th roots of u...