The formula for the sum of an infinite geometric series, S = StartFraction a 1 Over 1 minus r EndFraction, may be used to convert 0. ModifyingAbove 2 3 with bar to a fraction. What are the values of a 1 and r?

Explanation:

The question is incomplete and contains typing mistakes.

The correct question is:

The formula for the sum of an infinite geometric series,

             ,

may be used to convert (the the small line over 23 is used to indicate periodicity) to a fraction.

What are the values of and ?

Note that the number is equivalent to:

Where the first term is 23/100 and the following is obtained multiplying the previous term by 1/100.

Thus, that is a geometric series with

Now, use the formula to confirm:

Use a calculator to verify that 23/99 = 0.232323 . . .

answer: approximately 206 bones

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