# How do you find the next three terms of the sequence 1.8,3.6,7.2,14.4,28.8,...?

##### 1 Answer

#### Explanation:

We know it is a ** sequence**, but we do not know if it is a

**.**

*progression*There are ** arithmetic** and

**.**

*geometric*** Arithmetic** progressions have a

**, while**

*common difference***have a**

*geometric***. To find out if a sequence is an**

*ratio***or a**

*arithmetic***progression, we examine if consecutive terms have the same**

*geometric***or**

*common difference***.**

*ratio*** Examining if it has a common difference**:

We subtract

Now we subtract 2 more consecutive terms, to find out if all consecutive terms have the same common difference.

** Examining if it has a ratio**:

We divide

Now we divide 2 more consecutive terms, to find out if all consecutive terms have the same ratio.

Now, to find the next

So, the next