The sum of the first three terms of a G.P. is to the sum of the next three terms as 125:27. The comm

Question

The sum of the first three terms of a G.P. is to the sum of the next three terms as 125:27. The common ratio of the G.P is

Professor PC Thomas Classes · Answer

$\frac{\mathrm{a}+\mathrm{ar}+\mathrm{ar}^2}{\mathrm{ar}^3+\mathrm{ar}^4+\mathrm{ar}^5}=\frac{125}{27}, \frac{1}{\mathrm{r}^3}=\frac{125}{27}$