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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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