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JEE Advance2007
Paper-1
Question
Let $V_r$ denote the sum of the first $r$ terms of an arithmetic progression (A.P.) whose first term is $r$ and the common difference is $(2 \mathrm{r}-1)$. Let $$ T_r=V_{r+1}-V_r-2 \text { and } Q_r=T_{r+1}-T_r \text { for } r=1,2, \ldots $$
The sum $V_1+V_2+\ldots+V_n$ is
Select the correct option:
A
$\frac{1}{12} n(n+1)\left(3 n^2-n+1\right)$
B
$\frac{1}{12} n(n+1)\left(3 n^2+n+2\right)$
C
$\frac{1}{2} n\left(2 n^2-n+1\right)$
D
$\frac{1}{3}\left(2 \mathrm{n}^3-2 \mathrm{n}+3\right)$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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JEE Advance
Mathematics
Easy
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