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1995 IMO Problems/Problem 4

Revision as of 02:30, 22 April 2020 by Alapan1729 (talk | contribs)

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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