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What is the rule of 1 2 1 3 1 4 1 5?

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The terms 1, 1/2, 1/3, 1/4, 1/5 have the property that the numerator of each term is square 1 and starts at 1 and increases by 1 as the series progresses from term to term. start at 1 and increase by 1 as the series progresses from term to term.
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