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2008 AMC 10B Question 11

AMC10 · 2008 AMC 10B

Question 11

Suppose that $(u_n)$ is a sequence of real numbers satisfying $u_{n+2}=2u_{n+1}+u_n,$ and that $u_3=9$ and $u_6=128.$ What is $u_5?$
  1. $40$
  2. $53$
  3. $68$
  4. $88$
  5. $104$