Let

Express as an infinite series, find the sum, and express as a quotient of two integers.

We have

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#
Stumbling Robot

A Fraction of a Dot
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Express the decimal *x = 2.02020202…* as the quotient of two integers

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### Point out an error, ask a question, offer an alternative solution (to use Latex type [latexpage] at the top of your comment):

Let

Express as an infinite series, find the sum, and express as a quotient of two integers.

We have

You forgot to subtract 2 when changing the series iterator, the correct procedure is below: