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Question Number 182584 by Matica last updated on 11/Dec/22

$$Transformintofactorialformthefollowing$$$$A=1\times 3\times 5\times 7\times 9\times ...\times (2n-1).$$$$Example:4\times 3\times 2\times 1=4!$$

Answered by aleks041103 last updated on 11/Dec/22

$$A=1.3.5.7...(2n-1)=\frac{1.2.3.4.5.6.7...(2n-1).2n}{2.4.6....\left(2n\right)}=$$$$=\frac{\left(2n\right)!}{(2.1).(2.2).(2.3)....(2.n)}=\frac{\left(2n\right)!}{2^{n}n!}$$$$\Rightarrow A=\frac{\left(2n\right)!}{2^{n}n!}$$

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