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AMC 12 2009a Problem 25

  • Paper

The first two terms of a sequence are a1=1a_1 = 1 and a2=13a_2 = \frac {1}{\sqrt3}. For n≥1n\ge1,

What is ∣a2009∣|a_{2009}|?

\textbf{(A)}\ 0 \textbf{(B)}\ 2 - \sqrt3 \textbf{(C)}\ \frac {1}{\sqrt3} \textbf{(D)}\ 1 \textbf{(E)}\ 2 + \sqrt3

Dataset text AMC 12 2000 to 2025. Quoted with source.

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A

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