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:


`(27)/(500) / (9)/(100) = (3)/(5) \\ \\ (9)/(100) / (3)/(20) = (3)/(5) \\ \\ (3)/(20) / (1)/(4) = (3)/(5) \\ \\ (1)/(4) / (3)/(12) = (15)/(60) / (3)/(12) = (3)/(5)`
The ratio is 3/5.