If `S_n ,` the sum of first `n` terms of an A.P., is given by `S_n=5n^2+3n ,` then find its `n^(t h)` term.

Explanation

To find the \( n^{th} \) term of the arithmetic progression (A.P.) given that the sum of the first \( n \) terms \( S_n \) is \( S_n = 5n^2 + 3n \), we can follow these steps:

### Step 1: Understand the relationship between \( S_n \) and \( A_n \)

The sum of the first \( n \) terms of an A.P. can be expressed as:
\[ S_n = A_1 + A_2 + A_3 + ... + A_n \]
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