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?

(In reply to re: No Subject by levik)

I gather that f(n) is the fraction of the band that the ant has already covered. Cheradenine seems to be taking the same approach I suggested and looking for the time that f(n) becomes ≥ 1, just as I am looking for the time when the sequence of percentages becomes ≥ 100%

Posted by TomM on 2002-10-03 10:00:30