24. Five marks exercise problems II

In a G.P. the product of three consecutive terms is \(27\) and the sum of the products of two terms taken at a time is \(\frac{57}{2}\). Find the three terms.

 

Answer:

 

When $r=\frac{i}{i}$, \((r < 1)\):

 

The three terms are $\frac{i}{i},i,i$.