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MD-MO 2007 Problem 6

    Define (bn)(b_{n}) to be: b0=12b_{0}=12 , b1=32b_{1}=\frac{\sqrt{3}}{2} adn bn+1+bn−1=bn⋅3b_{n+1}+b_{n-1}=b_{n}\cdot\sqrt{3} . Find b0+b1+⋯+b2007b_{0}+b_{1}+\dots+b_{2007} .

    Note. Maybe this seems too easy, but I want to post all the problems...

    Dataset text AI-MO AoPS. Quoted with source.

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