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2008 AMC 10BProblem 11P11-15~2 minPrint
Sequences & SeriesLinear Equations & Word ProblemsSet up the equation/formula and compute; no special trick needed

Suppose that (un)(u_n) is a sequence of real numbers satisfying un+2=2un+1+unu_{n+2}=2u_{n+1}+u_n ,

and that u3=9u_3=9 and u6=128u_6=128 . What is u5u_5 ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.