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?

ok well ill conjecture the ant does reach the
far end of the band, and would do so after

e^1000 seconds (note the 1000 in the problem definition)

or

1,9700711140170469938888793522433e+434 seconds
if you like big numbers..

perhaps you must prove that f(n) converges to
1/1000*ln(n)..

Posted by Cheradenine on 2002-10-04 01:33:10