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Let Vr denote the sum of first r terms o...

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

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^(3)-2n+3)`

Text Solution

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The correct Answer is:
B
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