Let denote the sum of terms of an arithmetic progression (A.P.) whose . term is and the common difference is . Let and for Which of the following is a correct statement?...

(b) : is a constant.Hence are in A.P. with common difference 6 . ...

Let V_{r} denote the sum of 1^{{st}{~}}r terms of an arithmetic progression (A.P.) whose 1^{{st}{~}} . 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, Which of the following is a correct statement?: Sequence & Series (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?

Q_{1},Q_{2},Q_{3},\ldots

. are in A.P. with common difference 5.

Q_{1},Q_{2},Q_{3},\ldots

. are in A.P. with common difference 6.

Q_{1},Q_{2},Q_{3},\ldots

. are in A.P. with common difference 11.

Q_{1} = Q_{2} = Q_{3} = \ldots