Find the sum to n terms of the series `(1)/(1*3*5*7*9)+(1)/(3*5*7*9*11)+(1)/(5*7*9*11*13)+"......"`. Also, find the sum to infinty terms.

Explanation

To find the sum to n terms of the series

\[ S_n = \frac{1}{1 \cdot 3 \cdot 5 \cdot 7 \cdot 9} + \frac{1}{3 \cdot 5 \cdot 7 \cdot 9 \cdot 11} + \frac{1}{5 \cdot 7 \cdot 9 \cdot 11 \cdot 13} + \ldots \]

we can observe the pattern in the denominators. The k-th term of the series can be expressed as:

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