A rubber band is 1 meter long. An ant starts at one end, crawling at 1 millimeter per second. At the end of each second, the rubber band is instantaneously stretched by an additional meter. (So, at the end of the nth second, the rubber band becomes n+1 meters long.)

Does the ant ever reach the far end of the band? If so, when?

This problem really needs no math to figure out. The ant only can go 1 mm, then the rubber band gets 1 m larger. With this said, it is just a question of logic...the ant will never get to the end (especially since rubberbands really have no ends)

Posted by Amanda on 2002-10-09 11:48:55