These trickly little buggers always seem to confuse me. I need to find out whether or not the sequence is increasing, decreasing or neither.
The Attempt at a Solution
I'm pretty sure that it's a decreasing sequences but when I expand and reduce, it's not so obvious:
(n!)2/(2n)! = (n!)2/2n*(n!)
Which leaves me with,
= (n!)/2n since one of the factorials in the numerator cancels out with the factorial in the denominator. Did I expand this wrong or something?