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- #1

[tex]\displaystyle\frac{1}{998,001} \;=\;0.\overline{000\,001\,002\,003\,004\,005\, \cdots\,996\,997\,999}\, \cdots[/tex]

The decimal representation contains all the 3-digit numbers except 998

. . and the 2997-digit cycle repeats forever.

This is just one of a family of such fractions.

Can you determine the underlying characteristic?