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HMMT — Ant on Stretching Rubber Band

2175ExpertCalculusCombinatoricsAlgebraSequences & Series

Harvard-MIT Math Tournament

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?
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