Find the common difference of an A.P. whose first term is 5 and the sum of its first four terms is half the sum of the next four terms.

Explanation

To find the common difference of an arithmetic progression (A.P.) whose first term is 5 and the sum of its first four terms is half the sum of the next four terms, we can follow these steps:

### Step 1: Define the first term and common difference
Let the first term \( a_1 = 5 \) and the common difference be \( d \).

### Step 2: Write the first four terms of the A.P.
The first four terms of the A.P. can be expressed as:
- \( a_1 = 5 \)
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