« Vrati se
a_{0},\ a_{1},\ a_{2},\dots is a sequence of real numbers such that
a_{n + 1} = \left[a_{n}\right]\cdot \left\{a_{n}\right\}
prove that exist j such that for every i\geq j we have a_{i + 2} = a_{i}.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
2094IMO Shortlist 2002 problem A214
2122IMO Shortlist 2003 problem A31
2148IMO Shortlist 2004 problem A25
2205IMO Shortlist 2006 problem A211
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2357Mala olimpijada 1996 zadatak 30