Find the sum to n terms of the series :`1xx2xx3 + 2xx3xx4 + 3xx4xx5 + dot dot dot`

Explanation

To find the sum to n terms of the series \( S_n = 1 \times 2 \times 3 + 2 \times 3 \times 4 + 3 \times 4 \times 5 + \ldots \), we can follow these steps:

### Step 1: Identify the general term
The general term of the series can be expressed as:
\[ T_n = n(n+1)(n+2) \]
This is because the first term corresponds to \( n=1 \), the second to \( n=2 \), and so on.
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