Let Vr denote the sum of first r terms of an arithmetic progression (A.P.) whose first term is r and the common difference is (2r – 1).
Let `T_(r)=V_(r+1)-V_(r)-2 and Q_(r+1)-T_(r)` for `r=1,2…….`
The sum `V_(1)+V_(2)+….+V_(n)` is

Options

A. `1/12 n(n+1)(3n^2-n+1)`
B. `1/12 n(n+1)(3n^2+n+2)`
C. `1/2 n(2n^2-n+1)`
D. `1/3 (2n^2-2n+3)`

Answer

B