If pth and qth terms of an A.P. are `1/(qr) and 1/(pr)` respectivley, find the rth term.

The 2nd, 31st and last terms of an A.P. are 7 3/4, 1/2 and -6 1/2 respectively, find the first term and the number of terms.

If the 3rd and 9^(th) terms of an A.P. are 4 and - 8 respectively, which term of this A.P. is zero.

If the pth, qth and rth terms of an A.P. be x,y,z repsectively, then show that : x(q-r)+y(r-p)+z(p-q)=0

If (p+q)^(th) term of an A.P. is m and (p-q)th term is n, then the pth term is:

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., show that p +q= r+s.

If third term of an A.P. is 18 and seventh term is 30, find the series

The 6th term of an A.P. is 12 and the 8th term is 22, Find the 10th term.

If pth, qth and rth terms of a HP be respectively a,b and c , has prove that (q-r)bc+(r-p)ca+(p-q)ab=0 .

The corresponding first and the (2n-1)th terms of an A.P a G.P and a H.P are equal ,If their nth terms are a, b and c , respectively , then

The 3rd term of an A.P. is 1 and 6th term is -11. Determine its 15th term and rth term.