MathDB

3

Part of 1996 Flanders Math Olympiad

Problems(1)

[solved] - Real Axis

Source: Flanders '96

8/8/2004
Consider the points 1,12,13,...1,\frac12,\frac13,... on the real axis. Find the smallest value k∈N0k \in \mathbb{N}_0 for which all points above can be covered with 5 closed intervals of length 1k\frac1k.
pigeonhole principle