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Moyer
Mathematics
21 April, 12:28
How can I do this exercice (n+1) ! / (n+2) !?
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Kylie Underwood
21 April, 12:46
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(n+1) ! is equal to (n+1) * n * (n-1) * (n-2) ... * 3*2*1. Basically, it multiplies together every positive integer that is at most n+1. This is the definition of the!, or the factorial function.
(n+2) ! is equal to (n+2) * (n+1) * n * (n-1) * (n-2) ... * 3*2*1, using the same definition. This thus is equal to (n+1) ! * (n+2), so we have:
(n+1) ! / (n+1) ! (n+2), or:
1 / (n+2)
This is our final simplification.
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