leamave leamave
  • 16-07-2018
  • Mathematics
contestada

What is the common ratio of the following geometric sequence 5/12, 1/4,3/20,9/100,27/500

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mbh292
mbh292 mbh292
  • 16-07-2018
If you divide any number what comes before it, you get the ratio:

[tex] \frac{27}{500} \div \frac{9}{100} = \frac{3}{5} \\ \\ \frac{9}{100} \div \frac{3}{20} = \frac{3}{5} \\ \\ \frac{3}{20} \div \frac{1}{4} = \frac{3}{5} \\ \\ \frac{1}{4} \div \frac{3}{12} = \frac{15}{60} \div \frac{3}{12} = \frac{3}{5} [/tex]
The ratio is 3/5.
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