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: The backward ant by Aeternus)

Found some stuff that might help with my earlier workings (assuming they are right).

The sequence 1+1/2+1/3+1/4+...+1/T is roughly equal to ln(T)+0.577 (approximate of Euler's constant).
So the resulting equation(approximate) is
T(lnT+0.577)+d=1000+T1000

I'm not going to work on this anymore in case i'm heading in the wrong direction. Hope i've been of some help

Posted by Aeternus on 2002-10-04 18:42:19