A similar problem [posted by the same user...] has been solved recently in...

http://www.mathhelpforum.com/math-he...it-170087.html

The difference equation can be written as...

(1)

Following the trace of the post I have indicated You should be able to...

a) find the 'attractive fixed point'

b) find the range of values of for which the sequence tends to

c) extablish that the convergence is monotonic or not

Kind regards