If α≠1 is an nth root of unity then 1+3 α+5 α^2+…to n terms is…

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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,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=
Tutorial: Nth roots of unity Tutorial: Nth roots of unity
If `1,alpha_1, alpha_2, …alpha_(n-1)` be nth roots of unity then `(1+alpha_1)(1+alpha_2)…….... If `1,alpha_1, alpha_2, …alpha_(n-1)` be nth roots of unity then `(1+alpha_1)(1+alpha_2)……....
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If `a_1,a_2 ...a_n` are nth roots of unity then`1/(1-a_1) +1/(1-a_2)+1/(1-a_3)..+1/(1-a_n)` is ... If `a_1,a_2 ...a_n` are nth roots of unity then`1/(1-a_1) +1/(1-a_2)+1/(1-a_3)..+1/(1-a_n)` is ...
If 1, α, α^2, α^3, …, α^n-1 are the nth roots of unity, then the val… If 1, α, α^2, α^3, …, α^n-1 are the nth roots of unity, then the val…
Nth root of unity: examples Nth root of unity: examples