If `S_n` denotes the sum of n terms of an A.P. whose common difference is d and first term is a, find `S_n-2S_(n-1)+S_(n-2)`

Let S_(n) denote the sum of n terms of an AP whose first term is a.If common difference d is given by d=Sn-kS_(n-1)+S_(n-2), then k is :

Let S_(n) denotes the sum to terms of an A.P. whose first term is a . If the commom difference d is given by d = S_(n) - kS_(n-1) + S_(n-2) , then k is equal to

If S_n denote the sum of n terms of an A.P. with first term a and common difference d such that (S_x)/(S_(k x)) is independent of x , then d=a (b) d=2a (c) a=2d (d) d=-a

if S_(n) denotes the sum of n terms of a G.P whose first term is a and common ratio is r then find the sum of S_(1),S_(3),S_(5).........,S_(2)n-1

Let S_(n) be the sum of first n terms of an A.P. with non-zero common difference.Fine the ratio of first term and common difference if (S_(n_(1)n_(2)))/(S_(n_(1))) is independent of n_(1)

If S_(n) denote the sum of first n terms of an A.P. whose first term is a and S_(nx)/S_(x) is independent of x, then S_(p)=p^(3) b.p^(2)a .pa^(2) d.a^(3)

If the sum of n terms of an A.P.is S_(n)=3n^(2)+5n. Write its common difference.

If S_(n), denotes the sum of n terms of an AP, then the value of (S_(2n)-S_(n)) is equal to