What is the common ratio of the geometric sequence below?
625, 125, 25, 5, 1,
a. 1/625
b. 25/125
c. 625/125
d. 125/5

To determine what the ratio is, we must look at the current term to the previous term. So we'll work from 1 to 5, 5 to 25, 25 to 125, and so on. Let's figure out a rule that gets us from one number to the next. 1 to 5 is 1 x 5. 5 to 25 is 5 x 5. This rule is currently working. 25 to 125 is 25 x 5. 125 to 625 is 125 x 5. The rule is x5. What would the common ratio be with the answers given to us? Since our ratio is 1:5 or x5, let's look for an answer that gives us a match. B.) Is the correct answer since it gives us 25:125 which is 1:5 (1 to 5) simplified. I hope this helps!