If the (m+1)th,(n+1)th terms of an A.P. are in G.P. and m,n,r are in H.P., then find the value of the ratio of the common difference to the first term of the A.P.

if (m+1)th, (n+1)th and (r+1)th term of an AP are in GP.and m, n and r in HP. . find the ratio of first term of A.P to its common difference

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 .

If 10^(th) term and the 18^(th) term of an A.P. are 25 and 41 respectively, then find the 38^(th) term.

If a and d are the first term and common difference of an A.P. then the 8^(th) term is …..

Find the first term and common difference for each of the A.P. 0.6,0.9,1.2,1.5,…..

The 11^(th) term and the 21^(th) term of an A.P. are 16 and 29 respectively, then find the 41^(th) term of that A.P.

The 13^(th) term of an A.P is 3 and the sum of first 13 terms is 234 . Find the common difference and the sum of first 21 terms .

Let S_(n) denote the sum of first n terms of an A.P. If S_(4) = -34 , S_(3) = - 60 and S_(6) =- 93 , then the common difference and the first term of the A.P. are respectively.

If the sum of n terms of an A.P. is nP+1/2n(n-1)Q , where P and Q are constants, find the common difference.