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Question Number 18640 by 99 last updated on 26/Jul/17

Commented by 99 last updated on 26/Jul/17

$$pleasesolvequestionno.6.please...$$

Answered by Tinkutara last updated on 28/Jul/17

$$\frac{1}{1\times 3}+\frac{3}{1\times 3\times 7}+\frac{5}{1\times 3\times 7\times 11}+...$$$$=\frac{1}{2}(\frac{1}{1}-\frac{1}{3})+\frac{1}{2}(\frac{1}{1\times 3}-\frac{1}{1\times 3\times 7})$$$$+\frac{1}{2}(\frac{1}{1\times 3\times 7}-\frac{1}{1\times 3\times 7\times 11})+...$$$$=\frac{1}{2}$$

Commented by 99 last updated on 28/Jul/17

$$thankssir$$

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