MathDB
A flea moves in a positive direction on the Ox axis

Source: GMB-IMAR 2005, Seniors, Problem 3

October 10, 2005
ratioceiling functionfloor functionalgebra proposedalgebra

Problem Statement

A flea moves in the positive direction on the real Ox axis, starting from the origin. He can only jump over distances equal with 2\sqrt 2 or 2005\sqrt{2005}. Prove that there exists n0n_0 such that the flea can reach any interval [n,n+1][n,n+1] with n≥n0n\geq n_0.
Back to ProblemsView on AoPS