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7709

Frog Jumping Problem

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?
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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"Frog Jumping Problem" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/FrogJumpingProblem/
Contributed by: Sarah Lichtblau

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