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Mentallic
Mentallic is offline
#4
Aug8-11, 06:05 AM
HW Helper
P: 3,436

A recurrence relation


Hmm, after looking at it a bit more I realize it's really not telling us as much as I originally thought.

After solving for gn in

[tex]g_n=g_{n-1}+\frac{2}{a^2_n-2}g_n[/tex] to obtain

[tex]g_n=\frac{a_n^2}{a_n^2-2}g_{n-1}[/tex]

I was simply arguing that the factor approaches 1 as n gets large, but this doesn't really tell us about the limit of gn...