Nth Term of an A.P

Suppose mth term of an A.P. is 1/n and nth term of the A.P. is 1/m. If rth term of the A.P. is 1, then r is equal to

The nth terms of an A.P. (1)/(m),(m+1)/(m),(2m+1)/(m),... is:

If m times the mth term of an A.P. with non-zero common difference equals n times the nth term of the A.P., where m ne n , then (m+n)th term of this A.P. is

If the A.M. between mth and nth terms of an A.P. be equal to the A.M. between pth and qth terms of an A.P. then prove that m+n=p+q .

The mth term of an A.P. is n and nth term is m. Then rth term of it is

If m times the mth term of an A.P. is equal to n times its nth term, find (m + n) th term of the A.P.:

The 10th term and the 18th term of an A.P. are 25 and 41 respectively, then find 38th term of that A.P. Similarly if nth term is 99, find the value of n.

(i) The pth term of an A.P. is q the 1th term is p, show that rth term is p+q-r. (ii) in the A.P. if mth term is n and the nth term is m, where m!=n , find the pth term.