Let is an imaginary cube roots of unity, then the value of aligned 2(1+ ) & (1+ ^2 )+3(2 +1) (2 ^2+1 ) & + +(n+1)(n +1) (n ^2+1 ) is aligned

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Correct answer: A. [ n(n+1) 2 ]^2+n

Given that, gathered 1+ + ^2=0 and ^3=1 2(1+ ) (1+ ^2 )+3(2 +1) (2 ^2+1 ) + +(n+1)(n +1) (n ^2+1 ) =2(1)+3(3)+4(7)+ + (n^3+1 ) gathered array ll Let T_n=n^3+1 T_n= [ n(n+1) 2 ]^2+n array

Let is an imaginary cube roots of unity, then the value of aligned 2(1+ ) & (1+ ^2 )+3(2 +1) (2 ^2+1 ) & + +(n+1)(n +1) (n ^2+1 ) is aligned

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