Let `S_(n)` denote the sum of first n terms of an A.P . If `S_(2n) = 3S_(n)` then find the ratio `S_(3n)//S_(n)`.

Let S_(n) denote the sum of first n terms of an AP and S_(2n) = 3S_(n) . If S_(3n) = k S_(n) , then the value of k is equal to

Let S_n denotes the sum of first n terms of an AP. If S_4 = -34, S_5 = -60 and S_6 = - 93 , then the common difference and the first term of the AP are respectively

Find the sum of the first 10 terms of the AP which is (2n-3)/6 .

If S_(n) , denotes the sum of first n terms of a A.P. then (S_(3n)-S_(n-1))/(S_(2n)-S_(2n-1)) is always equal to

If S_(n) denotes 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)=

If the sum to first n terms of the AP 2, 4, 6, ……. Is 240, then the value of n is

If the sum of n terms of an A.P is 3n^2+5n and its m^(th) term is 164. Find the value of m.

Let S(n) denote the sum of the digits of a positive integer n. e.g. S(178)=1+7+8=16 . Then, the value of S(1)+S(2)+S(3)+...+S(99) is a)476 b)998 c)782 d)900

The sum of first n terms of an arithmetic sequence is n^2+2n What is the first term?

Let P(n) denotes the statement '3^n gt 2^n' . Is P(1) true?