In an `A.P.` with first term 'a' and the common difference d `(a, d!=0)`, the ratio `'rho`' of the sum of the first n terms to sum of n terms succeeding them does not depend on n. Then the ratio `a/d` and the ratio, `'rho'` ,respectively are

In a arithmetic progression whose first term is alpha and common difference is beta , alpha,beta ne 0 the ratio r of the sum of the first n terms to the sum of n terms succeending them, does not depend on n. Then which of the following is /are correct ?

In a arithmetic progression whose first term is alpha and common difference is beta , alpha,beta ne 0 the ratio r of the sum of the first n terms to the sum of n terms succeending them, does not depend on n. Then which of the following is /are correct ?

In an A.P., if the first term is 22, the common difference is -4 and the sum to n terms is 64, find n .

In an A.P., if the first term is 22, the common difference is -4 and the sum to n terms is 64, find n .

In an A.P, the sum of first 2n terms is equal to the sum of next n terms. Then the ratio of the sum of first 3n terms to the next n terms is

If (a)/(2) is the first term and d is the common difference of an AP, then the sum of n terms of the AP is _______.

For an AP, it is given that first term (a)= 5 and Common Difference (d) = 3 and nth term = 50. Find n and sum of first n terms of AP

For an AP, it is given that first term (a)= 5 and Common Difference (d) = 3 and nth term = 50. Find n and sum of first n terms of AP

If the ratio of the sum of the first n terms of two Aps is (7n + 1) : (4n + 27) then find the ratio of their 9th terms.

In an A.P. given that the first term (a) = 54, the common difference (d) = -3 and the n^(th) term (a_(n))=0 , find n and the sum of first n terms (S_(n)) of the A.P.