Mathematics
Let \(V_{r}\) denote the sum of \(1^{\text{st}\text{~}}r\) terms of an
arithmetic progression (A.P.) whose \(1^{\text{st}\text{~}}\) . term is
\(r\) and the common difference is \(2r - 1\). Let
\(T_{r} = V_{r + 1} - V_{r}\) and
\(Q_{r} = T_{r + 1} - {T}_{r}\) for
\(r = 1,2,\ldots\)
Which of the following is a correct statement?
A
\(Q_{1},Q_{2},Q_{3},\ldots\). are in A.P. with common difference 5.
B
\(Q_{1},Q_{2},Q_{3},\ldots\). are in A.P. with common difference 6.
C
\(Q_{1},Q_{2},Q_{3},\ldots\). are in A.P. with common difference 11.
D
\(Q_{1} = Q_{2} = Q_{3} = \ldots\)
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