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The product 
\(\prod_{k=2}^{15}{\frac{k-1}{k+1}}=\frac{1}{3}\cdot\frac{2}{4}\cdot\frac{3}{5}\cdots\frac{12}{14}\cdot\frac{13}{15}\cdot\frac{14}{16} \)

can be written as 1/n for some integer n, find n

 Oct 1, 2022
 #1
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product_(k=2)^15 (k - 1)/(k + 1) = 1/120

 Oct 2, 2022
 #2
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The answer is not 120.

Guest Oct 8, 2022

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