« 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
2357Mala olimpijada 1996 zadatak 30
2340Hrvatska matematička olimpijada 1994 - Drugi dan - Zadatak 23
2205IMO Shortlist 2006 problem A211
2148IMO Shortlist 2004 problem A25
2122IMO Shortlist 2003 problem A31
2094IMO Shortlist 2002 problem A214