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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 (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) = ……..`

Text Solution

Verified by Experts

The correct Answer is:
B
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