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 by Cheradenine)

Err... Umm... Care to elaborate?

The gather p(n) is the location of the ant at time n. And b(n) would be the length of the band at that time.

What's f(n)?

Posted by levik on 2002-10-03 08:48:06