Find the sum to n terms of the series :`1/(1xx2)+1/(2xx3)+1/(3xx4)+.........`

Explanation

To find the sum to \( n \) terms of the series

\[ S_n = \frac{1}{1 \times 2} + \frac{1}{2 \times 3} + \frac{1}{3 \times 4} + \ldots + \frac{1}{n \times (n+1)} \]

we can start by rewriting each term in a more manageable form.

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