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
product_(k=2)^15 (k - 1)/(k + 1) = 1/120
The answer is not 120.
