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# help

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Define the sequence $$\{x_i\}_{i\ge 0}$$ by $$x_0=2009$$ and $$x_n=-\frac{2009}{n}\sum_{k=0}^{n-1}x_k$$ for all $$n\ge 1$$. Compute the value of $$\sum_{n=0}^{2009}2^nx_n$$.

Apr 12, 2019