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Let m = 721,000,000. Define the sequence \(a_0, a_1, a_2, \dots\)such that a_0=0 and \(a_n = \sqrt[3]{m + a_{n-1}}\)for n>=1. Find floor{a_2005} where floor{x} represents the greatest integer not greater than x.

 Jan 21, 2023

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