if the A.M. between `pth and qth` terms of an A.P. be equal to the A.M. between `rth and sth` terms of the A.P., then show that `p+q=r+s`

Find the 9th and pth terms of the A.P. 2,5,8.

Show (m+n)th and (m-n)t h terms of an A.P. is equal to twice the mth terms.

If 10 times the 10th term of an A.P. is equal to 15 times the 15th term, show that 25th term of the A.P. is zero.

If the pth term of an A.P. is q and the qth term is p , then find its rth term.

If the pth term of an A.P. is q and the qth term isp, then find its rth term.

If the pth term of an A.P. is (2p+3), find the A.P.

(a) The 3rd and 19th terms of an A.P. are 13 and 77 respectively. Find the A.P. (b) The 5th and 8th terms of an A.P. are 56 and 95 respectively. Find the 25th term of this A.P. (c) The pth and qth terms of an A.P. are q and p respectively. Prove that its (p + q)th term will be zero.

If the sum of first p terms of an A.P. is equal to the sum of the first q terms, then find the sum of the first (p + q) terms.

If the sum of first p terms of an A.P. is equal to the sum of the first q terms, then find the sum of the first (p+q) terms.

The sum of 5 and 15 terms of an A.P. are equal. Find the sum of 20 terms of this A.P.