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#2 2007-12-22 05:14:37
- JaneFairfax
- Legendary Member
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Re: is an integer
Construct a recurrence sequence of integers for which that number is the 2008th term. Let’s see …
are roots of the quadratic equation
This would be the characteristic equation of the recurrence relation
Choose
and
which should be an integer. Is it? I think so anyway; I’ll leave you to check. So an is a sequence of integers and the formula for an is
In particular, a2008 is an integer
Last edited by JaneFairfax (2007-12-22 05:25:42)