On Feb 2, 2008 11:49 PM, Hector Villafuerte <[EMAIL PROTECTED]> wrote:
>
> Hi,
> is there a way in SAGE to handle recurrences? Say, determine the
> closed-form expression, or the limit as n goes to infinity, of
> something like:
>
> r_0 = sqrt(a), where a>0
> r_n = sqrt(a + r_{n-1})
>
> Now, experimenting with SAGE (and using some basic Calculus), I've
> noticed that this recurrence converges to: 1/2 + 1/2*sqrt(1 + 4*a);
> but I still wonder if there's a more SAGEist way to do this.
> Thanks in advance,
Quick remark -- please see
http://sagetrac.org/sage_trac/ticket/1291
where somebody asked a similar question and has some remarks
about possible answers.
William
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