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Let `V_r` denote the sum of the first r terms of an arithmetic progression (AP) whose first term is r and the common difference is `(2r-1). Let `T_r=V_(r+1)-V_r-2 and Q_r =T_(r+1)-T_r for r=1,2` Which one of the following is a correct statement? (A) `Q_1, Q_2, Q_3…………..,` are in A.P. with common difference 5 (B) `Q_1, Q_2, Q_3…………..,` are in A.P. with common difference 6 (C) `Q_1, Q_2, Q_3…………..,` are in A.P. with common difference 11 (D) `Q_1=Q_2=Q_3`

A

`Q_1,Q_2,Q_3,`.....are in A.P. with common difference 5.

B

`Q_1,Q_2,Q_3,`.....are in A.P. with common difference 6.

C

`Q_1,Q_2,Q_3,`.....are in A.P. with common difference 11.

D

`Q_1=Q_2=Q_3,`......

Text Solution

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The correct Answer is:
B
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