- #1

- 96

- 0

## Homework Statement

These trickly little buggers always seem to confuse me. I need to find out whether or not the sequence is increasing, decreasing or neither.

A

_{n}=(n!)

^{2}/(2n)!

## Homework Equations

## 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}/2

^{n}*(n!)

Which leaves me with,

= (n!)/2

^{n}since one of the factorials in the numerator cancels out with the factorial in the denominator. Did I expand this wrong or something?

Jim