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MathNet 2002 — Part 02 Question 55

Math Olympiad Vault · MathNet 2002 — Part 02

Question 55

A rubber band is 4 inches long. An ant begins at the left end. Every minute, the ant walks one inch rightwards along the rubber band, but then the band is stretched (uniformly) by one inch. For what value of $n$ will the ant reach the right end during the $n$th minute?