Let $V_{r}$ denote the sum of the first' ' terms of an arithmetic progression (A.P.) whose first term is'r and the common difference is $(2 r - 1)$ . Let $T_{r} = V_{r + 1} - V_{r} - 2$ and $Q_{r} = T_{r + 1} - T_{r}$ for $r = 1, 2, \dots\dots .$ The sum $V_{1} + V_{2} + \dots\dots + V_{n}$ is

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Let

V_{r}

denote the sum of the first' ' terms of an arithmetic progression (A.P.) whose first term is'r and the common difference is

(2 r - 1)

. Let

T_{r} = V_{r + 1} - V_{r} - 2

and

Q_{r} = T_{r + 1} - T_{r}

for

r = 1, 2, \dots\dots .

The sum

V_{1} + V_{2} + \dots\dots + V_{n}

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Question Text

Let

V_{r}

denote the sum of the first' ' terms of an arithmetic progression (A.P.) whose first term is'r and the common difference is

(2 r - 1)

. Let

T_{r} = V_{r + 1} - V_{r} - 2

and

Q_{r} = T_{r + 1} - T_{r}

for

r = 1, 2, \dots\dots .

The sum

V_{1} + V_{2} + \dots\dots + V_{n}

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