# How do you determine whether each sequence could be geometric, arithmetic, or neither. Use a patte to write the next three terms. 460, 46, 4.6, 0.46?

##### 1 Answer

See below.

#### Explanation:

If a, b, c are in arithmetic sequence then:

This is known as the **common difference**

If a, b, c are in geometric sequence then:

This is known as the **common ratio**

From given sequence:

**not an arithmetic sequence**

**This is a geometric sequence**

The nth term of a geometric sequence is given by:

Where

From example:

We need to find the next 3 terms. i.e. 5th 6th and 7th.

So:

We can see from the pattern, that as the sequence progresses each number is 10 times smaller than the previous number.