SOLUTION: Please help me solve this question. Find the value of n:(1-1/2)(2-2/3)(3-3/4)(4-4/5)...(15-15/16)=n!/16

Question 1020545: Please help me solve this question.
Find the value of n:(1-1/2)(2-2/3)(3-3/4)(4-4/5)...(15-15/16)=n!/16
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
...
Notice that the kth factor of this expression also has k as a factor,e.g., the factor 3-3/4 has 3 as a factor,and the 14th factor 14-14/15 has 14 as a factor.
If we factor all the k factors from each one of those factors, the expression becomes
......
This expression is the same as
...
The product of the fifteen fractional terms would just be equal to 1/16 by direct cancellation of common terms.
Hence the entire expression is equal to
,
and so the value of n is .
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