The ratio of the sum of first three terms is to that of first 6 terms of a G.P. is 125:152. Find the common ratio.

Explanation

To solve the problem, we need to find the common ratio \( r \) of a geometric progression (G.P.) given the ratio of the sum of the first three terms to the sum of the first six terms is \( 125:152 \).

### Step-by-Step Solution:

1. **Identify the first three and six terms of the G.P.**:
The first three terms of a G.P. can be expressed as:
\[
a, ar, ar^2
...