2002 OIM Problems/Problem 5
Problem
The sequence of real numbers 
is defined as:
$$ (Error compiling LaTeX. Unknown error_msg)a_1 = 56, a_{n+1} = a_n - \frac{1}{a_n}
for every integer 
.
Prove that there exists an integer 
, 
, such that 
.
~translated into English by Tomas Diaz. orders@tomasdiaz.com
Solution
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