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The sum of first three terms of a G.P. is 13/12 and their product is – 1. Find the common ratio and the terms.
The 5th, 8th and 11th terms of a G.P. are p, q and s, respectively. Show that q2 = ps.
The sum of first three terms of a G.P. is 39/10 and their product is 1. Find the common ratio and the terms.
Show that the products of the corresponding terms of the sequences a, ar, ar2, …arn – 1 and A, AR, AR2, … ARn – 1 form a G.P, and find the common ratio.
Find four numbers forming a geometric progression in which the third term is greater than the first term by 9, and the second term is greater than the 4th by 18.
If the first and the nth term of a G.P. are a and b, respectively, and if P is the product of n terms, prove that P2 = (ab)n.
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