hi,
I am having trouble trying to find a general rule for the sequence defined as ,
I have the first n terms but cant see a pattern..
Thanks,
The difference equation...
(1)
... is nonlinear and a direct solution is a difficult task. However, if You are interested to the 'asyntotic behaviour' of the then You can write (1) as...
(2)
... and follow the procedure illustrated in...
http://www.mathhelpforum.com/math-he...-i-188482.html
In Your case is...
(3)
... and f(x) has only one 'attractive fixed point' in . You can verify that for any is...
(4)
... so that the conditions of theorem 4.1 are satisfied and the do converge monotonically at 0...
Kind regards