The sum of first two terms of an infinite G.P. is 5 and each term is three times the sum of the succeeding terms. Find the G.P.

Explanation

To solve the problem step by step, we will denote the first term of the geometric progression (G.P.) as \( A \) and the common ratio as \( r \).

### Step 1: Set up the equations based on the problem statement
We are given two conditions:
1. The sum of the first two terms of the G.P. is 5.
2. Each term is three times the sum of the succeeding terms.

From the first condition, we can write:
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