pop000 Posts: 352, Reputation: 6 Full Member #1 Feb 8, 2011, 03:44 AM
Recurrence relation
be {an} Definition by the Recurrence relation Formula (as you can see in the picture).
is also known that n >or=1 and a1=2

A)prove that for any n >or=1 Existing 1<or =an< or =3

thanks
 galactus Posts: 2,271, Reputation: 282 Ultra Member #2 Feb 8, 2011, 04:07 AM

Consider the limit

$L=\frac{4L-3}{L}$

$L^{2}-4L+3=0$
 pop000 Posts: 352, Reputation: 6 Full Member #3 Feb 8, 2011, 12:20 PM
Comment on galactus's post
OK I will try.
Thank you

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