" If "alpha" is an "n^(" th ")" root of unity,the "1+2 alpha+3 alpha^(2)+.....+n alpha^(n-1)=

If alpha is an n^(th) roots of unity, then 1+2alpha+3alpha^(2)+……..+nalpha^(n-1) equals

If alpha is an n^(th) roots of unity, then 1+2alpha+3alpha^(2)+……..+nalpha^(n-1) equals

If alpha is an n^(th) root of unity then prove that 1+2alpha+3alpha^2+4alpha^3+….+nalpha^(n-1)=-(n)/(1-alpha)

If 'alpha' be the non-real n^(th) roots of unity, then 1+3alpha+5alpha^2+…...(2n-1)alpha^(n-1) is equal to

If alpha is the nth root of unity,then 1+2 alpha+3 alpha^(2)+rarr n terms equal to a.(-n)/((1-alpha)^(2)) b.(-n)/(1-alpha^(2)) c.(-2n)/(1-alpha) d.(-2n)/((1-alpha)^(2))

If alpha is an imaginary fifth root of unity then log _(2)|1+alpha+alpha^(2)+alpha^(3)-(1)/(alpha)|=

If alpha is the nth root of unity then 1+2alpha+3alpha^(2)+ ............to n terms is equal to

If alpha is the nth root of unity then 1+2alpha+3alpha^2+…. to n terms equal to

If alpha is an imaginary fifth root of unity, then log_(2)|1+alpha+alpha^(2)+alpha^(3)-1/alpha|=

Let p be a multiple of n and let 1,alpha,......alpha^(n-1) be the n^(th) root of unity then the value of 1+alpha^(p)+......+(alpha^(n-1))^(p)=