# What is a common ratio?

**Common Ratio**

**common ratio**is the amount between each number in a geometric sequence. It is called the

**common ratio**because it is the same to each number, or

**common**, and it also is the

**ratio**between two consecutive numbers in the sequence.

Moreover, what is the common ratio in an exponential function?

In an **exponential function** of the form y = bx, 'b' represents the **common ratio**. Decay Curve A decay curve is the name given to the graph of an **exponential function** in which the **common ratio** is such that 0 < b < 1. The graph is decreasing since the value of the **function** falls as the value of 'x' increases.

**geometric**progression, also known as a

**geometric sequence**, is a

**sequence**of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common

**ratio**. For example, the

**sequence**2, 6, 18, 54, is a

**geometric**progression with common

**ratio**3.

Correspondingly, what is the common difference?

Determining the **Common Difference** The **common difference** is the amount between each number in an arithmetic sequence. It is called **common difference** because it is the same, or **common** to, each number, and it also is the **difference** between each number in the sequence.

To determine the **common ratio**, you can just divide each number from the number preceding it in the sequence. For example, what is the **common ratio** in the following sequence of numbers? Continue to divide to ensure that the pattern is the same for each number in the series.