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,

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- October 8th 2011, 11:10 PMOilerGeneral rule for a sequence..
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, - October 8th 2011, 11:29 PMCaptainBlackRe: General rule for a sequence..
- October 9th 2011, 12:45 AMchisigmaRe: General rule for a sequence..
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