Question

The sum of first three terms of a G.P. is and their product is 1. Find the common ratio and the terms.

Answer 1

Let be the first three terms of the G.P.

From (2), we obtain

a³ = 1

⇒ a = 1 (Considering real roots only)

Substituting a = 1 in equation (1), we obtain

Thus, the three terms of G.P. are .