Find the sum of series `(3^3-2^3)+(5^3-4^3)+(7^3-6^3)+...` to `n` terms

Explanation

To find the sum of the series \((3^3 - 2^3) + (5^3 - 4^3) + (7^3 - 6^3) + \ldots\) up to \(n\) terms, we can follow these steps:

### Step 1: Identify the General Term
The series can be expressed in terms of \(n\):
- The first term is \(3^3 - 2^3\) which can be written as \((2 \cdot 1 + 1)^3 - (2 \cdot 1)^3\).
- The second term is \(5^3 - 4^3\) which can be written as \((2 \cdot 2 + 1)^3 - (2 \cdot 2)^3\).
- The third term is \(7^3 - 6^3\) which can be written as \((2 \cdot 3 + 1)^3 - (2 \cdot 3)^3\).

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