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Difference between revisions of "1995 IMO Problems/Problem 4"

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Revision as of 03:27, 22 April 2020

The positive real numbers $x_0, x_1, x_2, x_3, x_4.....x_1994, x_1995$ satisfy the relations 

  $x_0=x_1995$ and

$x_{i-1}+\frac{2}{x_{i-1}}=2{x_i}+\frac{1}{x_i}$ for $i=1,2,3,....1995$

Find the maximum value that $x_0$ can have.

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