Question

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

Answer 1

If you divide any number what comes before it, you get the ratio:

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