smoj's problem

For discussing Olympiad Level Algebra (and Inequality) problems
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najif
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Joined:Wed Mar 21, 2012 1:59 pm
smoj's problem

Unread post by najif » Fri Jun 28, 2013 8:55 pm

If $ a_0=\frac{1}{2001}, a_{k+1}=a_k+\frac{1}{n}a_k^2 ,k=0,1,2,... $, prove that $2000a_n<1 $ .
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