If each term of an infinite G.P. is twice the sum of the terms following it, then find the common ratio of the G.P.

Explanation

To solve the problem, we need to find the common ratio \( r \) of an infinite geometric progression (G.P.) where each term is twice the sum of the terms that follow it. Let's break this down step by step.

### Step 1: Define the terms of the G.P.
Let the first term of the G.P. be \( a \) and the common ratio be \( r \). The terms of the G.P. can be expressed as:
- First term: \( a \)
- Second term: \( ar \)
- Third term: \( ar^2 \)
- \( n \)-th term: \( ar^{n-1} \)
...