# 2017 IMO Problems/Problem 1

For each integer , define the sequence for as Determine all values of such that there exists a number such that for infinitely many values of .

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Revision as of 19:52, 22 November 2017 by Bobsonjoe (talk | contribs) (Created page with "For each integer <math>a_0 > 1</math>, define the sequence <math>a_0, a_1, a_2, \ldots</math> for <math>n \geq 0</math> as <cmath>a_{n+1} = \begin{cases} \sqrt{a_n} & \text{i...")

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For each integer , define the sequence for as Determine all values of such that there exists a number such that for infinitely many values of .

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