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Find the sum to n terms of the series :1...

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

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To find the sum to n terms of the series \(1 \times 2 \times 3 + 2 \times 3 \times 4 + 3 \times 4 \times 5 + \ldots\), we can express the general term and then sum it up. ### Step-by-Step Solution: 1. **Identify the General Term**: The series can be expressed in terms of \(r\) as follows: \[ T_r = r \times (r + 1) \times (r + 2) ...
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