If the first term of an A.P. is 2 and the sum of first five terms is equal to one fourth of the sum of the next five terms, find the sum of first 30 terms.

Explanation

To solve the problem step by step, we will follow the arithmetic progression (A.P.) formulas and the conditions given in the question.

### Step-by-Step Solution:

1. **Identify the first term and the sum of the first five terms:**
- The first term \( a = 2 \).
- The sum of the first \( n \) terms of an A.P. is given by the formula:
\[
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