Ignore the length of the rubberband. Just think of the fraction of the rubberband the ant covers in any given minute. The first minute, the ant moves 1/100 of

Ignore the length of the rubberband. Just think of the fraction of the rubberband the ant covers in any given minute. The first minute, the ant moves 1/100 of the length of the rubberband. The second minute, 1/200. The third minute, 1/300. Then 1/400, 1/500, 1/600, and so on. Those who are well-versed in discrete math should recognize this as a variant of the "harmonic series" [0]. It is divergent, meaning it eventually -- but excruciatingly slowly -- will reach any given number. Thus, the ant will eventually reach the end of the rubberband. However, this will take him about 1.5 x 10^43 steps [1] [0] http://en.wikipedia.org/wiki/Harmonic_series_%28mathematics%29 http://en.wikipedia.org/wiki/Harmonic_series_%28mathematics%... [1] http://oeis.org/A082912 http://oeis.org/A082912 - "In 1968 John W. Wrench Jr calculated the exact minimum number of terms needed for the series to sum past 100; that number is 15 092 688 622 113 788 323 693 563 264 538 101 449 859 497. Certainly, he did not add up the terms."