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?

Let be N the number of sec, when the ant reaches the end, so N/1000 will be the distance in meters, that ant had crawl, on the other hand, at the and of Nth sec all distance should be (N+1) meters long, so we have the equotion: N/1000 = N+1, where N should be equal -1000/999 ??? where I got the mistake?

Posted by gary on 2003-02-20 10:40:37