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2008 AMC 10B Problem 11

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2008 AMC 10B Problem 11AMC 10 Step by Step
Name:                             Date: September 13, 2026
Sequences & Series · difficulty 2 of 5 · about 2 min · position P11-15

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 ?

  1. A)

    4040

  2. B)

    5353

  3. C)

    6868

  4. D)

    8888

  5. E)

    104104

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