If p, q, r be in arithmetic progression, then show that the pth, qth and rth terms of any geometric series will be in geometric progression.

If p ,q ,a n dr are inA.P., show that the pth, qth, and rth terms of any G.P. are in G.P.

Take any Arithmetic Progression.

The nth term of an arithmetic progression is 3n-1. Find the progression.

Find the geometric progression whose 4th term is 54 and the 7th term is 1458.

If the pth, qth and rth terms of a G.P. are again in G.P., then p, q, r are in

The first term of an arithmetic progression is 1 and the sum of the first nine terms equal to 369 . The first and the ninth term of a geometric progression coincide with the first and the ninth term of the arithmetic progression. Find the seventh term of the geometric progression.

If in an arithmetic progression, the sum of n terms is equal to the sum of r terms then the sum of (n+r) terms is

Let a ,b be positive real numbers. If a, A_1, A_2, b be are in arithmetic progression a ,G_1, G_2, b are in geometric progression, and a ,H_1, H_2, b are in harmonic progression, show that (G_1G_2)/(H_1H_2)=(A_1+A_2)/(H_1+H_2)

If the pth term of an arithmetic progression is q and the qth term is p, show that its (p+q)th term is 0.

If P-th term of an arithmetic progression be Q and Q-th term be P.then show that (P+Q)thterm is O.