Show that for an integer (n geq 2), the period of the decimal expression for the rational
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Show that for an integer \(n \geq 2\), the period of the decimal expression for the rational number \(\frac{1}{n}\) is at most \(n-1\).
Find the first few values of \(n\) for which the period of \(\frac{1}{n}\) is equal to \(n-1\). Do you notice anything interesting about the values you've found?
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