QJEEAdv07Ma0ccf: JEE Advanced 2007 Mathematics - Class 11 JEEAdv07Ma0ccf Solution: Let V r denote the sum of first r terms of an arithmetic…

Question

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Let

V_{r}

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 a n d Q_{r} = T_{r + 1} - T_{r} f o r r = 1, 2, . . .

The sum $V_{1}$ + $V_{2}$ +...+ $V_{n}$ is

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