Find the sum of the following series to `n` term: `1^3+3^3+5^3+7^3+.........`

Explanation

To find the sum of the series \( S_n = 1^3 + 3^3 + 5^3 + 7^3 + \ldots \) up to \( n \) terms, we can follow these steps:

### Step 1: Identify the general term
The series consists of the cubes of the first \( n \) odd numbers. The \( n \)-th odd number can be expressed as:
\[ T_n = 2n - 1 \]
Thus, the series can be rewritten as:
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