Let V_r denote the sum of 1^st r terms of annarithmetic progression (A.P.) whose 1^st . term isnr and the common difference is 2r - 1. LetnT_r = V_r + 1 - V_r andnQ_r = T_r + 1 - T_r fornr = 1,2, ... nT_r is always a/an

(d) : T_r=r+(r-1)(2 r-1)=(r+1)(3 r-1)nnT_r is a product of 2 numbers for each value of r and hence T_r is composite.n

Let V_{r} denote the sum of 1^{{st}{~}}r terms of an ar... | Sequence & Series (Mathematics)

Let

V_{r}

denote the sum of

1^{\text{st}\text{~}}r

terms of an\narithmetic progression (A.P.) whose

1^{\text{st}\text{~}}

. term is\n

r

and the common difference is

2r - 1

. Let\n

T_{r} = V_{r + 1} - V_{r}

and\n

Q_{r} = T_{r + 1} - {T}_{r}

for\n

r = 1,2,\ldots

T_{r}

is always a/an