The fourth term of a GP. is 27 and the 7th term is 729, find the GP.

The seventh term of a GP. is 8 times the fourth term and 5th term is 48. Find the GP.

If the GP.’s 5,10, 20, .......and 1280, 640, 320, ......have their nth terms equal, find the value of n.

The third term of a GP. is 4. Find the product of its first five terms.

The 5th, 8th and 11th terms of a GP. are p, q and s respectively. Show that q² = ps.

Find all the sequences which are simultaneously in A.P. and GP.

67.

In a finite GP. the product of the terms equidistant from the beginning and the end is always same and equal to the product of first and last term.

If the first and the nth terms of a GP. are a and b respectively and if P is the product of first n terms, prove that P² = (ab)ⁿ.

If show that a, b, c, d are in G.P.

If 4th, 10th and 16th terms of a GP. are x, y and z respectively, Prove that y, z are in GP.