Find the sum of first 51 terms of an AP whose second and third terms are 14 and 18 respectively.

Explanation

To find the sum of the first 51 terms of an arithmetic progression (AP) where the second term \( A_2 \) is 14 and the third term \( A_3 \) is 18, we can follow these steps:

### Step 1: Identify the terms
The second term \( A_2 \) and third term \( A_3 \) can be expressed in terms of the first term \( A \) and the common difference \( D \):
- \( A_2 = A + D \)
- \( A_3 = A + 2D \)

### Step 2: Set up equations
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