# Find the Common Ratio of the Sequence. –125, –25, –5, –1, . . .

A sequence in which the ratio between two consecutive terms is the same is called a geometric sequence.

## Answer: The Common Ratio of the Sequence –125, –25, –5, –1, . . . is 1/5.

Let's find the common ratio.

**Explanation: **

The Common ratio of any geometric progression can be calculated by dividing any two consecutive terms and simplifying them to the simplest form.

⇒ a_{2} / a_{1 }= -25 / -125 = 1/5

The ratio 1/ 5 is the same in the sequence, hence called the common ratio.