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Problem of the Week 835

An Interesting Sequence

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(a) What is interesting about the following sequence?

1/89, 1/9899, 1/998999, 1/99989999, ...
(b) Explain.

Source: Hiro Asari (University of Illinois).

© Copyright 1997 Stan Wagon. Reproduced with permission.

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The Math Forum

2 October 1998