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,
--
Hector
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