« Vrati se
Let a_{0}, a_{1}, a_{2}, ... be a sequence of reals such that a_{0} = - 1 and

a_{n} + \frac {a_{n - 1}}{2} + \frac {a_{n - 2}}{3} + ... + \frac {a_{1}}{n} + \frac {a_{0}}{n + 1} = 0 for all n\geq 1.

Show that a_{n} > 0 for all n\geq 1.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
2094IMO Shortlist 2002 problem A210
2122IMO Shortlist 2003 problem A31
2148IMO Shortlist 2004 problem A24
2204IMO Shortlist 2006 problem A115
2340Izborno natjecanje 1994 zadatak 23
2357Mala olimpijada 1996 zadatak 30