In an AP, If `S_(n)=n(4n+1),` then find the AP.

Explanation

To find the arithmetic progression (AP) given the sum of the first n terms \( S_n = n(4n + 1) \), we will follow these steps:

### Step 1: Understand the relationship between the sum of terms and the nth term
The nth term of an AP can be found using the formula:
\[ A_n = S_n - S_{n-1} \]
where \( S_n \) is the sum of the first n terms and \( S_{n-1} \) is the sum of the first \( n-1 \) terms.
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