Browse · MATH Print → jmc algebra intermediate Problem Suppose that (un) is a sequence of real numbers satisfying un+2=2un+1+unand that u3=9 and u6=128. What is u5? Solution — click to reveal Let u4=a. Then u5=2u4+u3=2a+9 and u6=2u5+u4=2(2a+9)+a=5a+18=128. Solving for a, we find a=22, so u5=2⋅22+9=53. Final answer 53 ← Previous problem Next problem →