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Insert three fractions between \(1/8\) and \(1/5 \) so the five fractions form an arithmetic sequence. What is the sum, expressed as a common fraction, of these three new fractions?

 Mar 20, 2022
 #1
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Like so:

 

Sequence:  \(\frac{1}{8}, \frac{1}{8}+d, \frac{1}{8}+2d, \frac{1}{8}+3d, \frac{1}{5}\)

 

Last term:  \(\frac{1}{8}+4d=\frac{1}{5}\)  Use this to find d, then you can find and sum the three middle fractions.

 Mar 22, 2022

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