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by lotharbot 5226 days ago
If the rubberband doubled in length every minute, the ant would still make progress in terms of percentage, but never come close to the end of the rubberband. He would approach the 2% point -- the sum of 1 + 1/2 + 1/4 + 1/8 + ...

In this case, he will eventually make it to the end -- the sum of 1 + 1/2 + 1/3 + 1/4 + 1/5 + ... is divergent.