Find the sum of the following series to `n` term: `1. 2. 5+2. 3. 6+3. 4. 7+..........`

Explanation

To find the sum of the series given by the terms \(1 \cdot 2 \cdot 5 + 2 \cdot 3 \cdot 6 + 3 \cdot 4 \cdot 7 + \ldots\) up to \(n\) terms, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the General Term**:
The \(n^{th}\) term of the series can be expressed as:
\[
T_n = n \cdot (n + 1) \cdot (n + 4)
...