In an A.P., the first term is 2 and the sum of the first five terms is one-fourth of the next five terms. Show that 20th term is ` 112`.

Explanation

To solve the problem step-by-step, we will use the properties of an arithmetic progression (A.P.).

### Step 1: Identify the first term and the common difference
Given that the first term \( A = 2 \). Let the common difference be \( D \).

### Step 2: Write the formula for the sum of the first five terms
The sum of the first \( n \) terms of an A.P. is given by:
\[
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