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need help

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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
+32957
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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