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2006 AMC 10B Problem 18

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2006 AMC 10B Problem 18AMC 10 Step by Step
Name:                             Date: September 13, 2026
Sequences & Series · difficulty 3 of 5 · about 3 min · position P16-20

Let a1,a2,...a_1 , a_2 , ... be a sequence for which a1=2a_1=2 , a2=3a_2=3 , and an=an−1an−2a_n=\frac{a_{n-1}}{a_{n-2}} for each positive integer n≥3n \ge 3 . What is a2006a_{2006} ?

  1. A)

    12\frac{1}{2}

  2. B)

    23\frac{2}{3}

  3. C)

    32\frac{3}{2}

  4. D)

    22

  5. E)

    33

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