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Frog Jumping Problem

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Suppose a frog is on the side of a one-meter-wide river and hops across. The first jump is a 1/2 meter hop, then a 1/4 meter hop, then an 1/8 meter hop, and so on. How many hops will it have to take to reach the other side?

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It takes an infinite number of hops! The frog will never fully reach the other side in a finite number of hops.

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Contributed by: Sarah Lichtblau (March 2011)
Open content licensed under CC BY-NC-SA

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