# How do you determine if 15,-5,-25,-45 is an arithmetic or geometric sequence?

##### 1 Answer

Jun 27, 2015

**The sequence is an arithmetic sequence.**

#### Explanation:

- In an Arithmetic sequence there is a common difference
#d# between any two consecutive terms - In a Geometric sequence there is a common ratio
#r# for any two consecutive terms

The sequence given is :

1) Checking if the sequence is an arithmetic sequence:

As observed **arithmetic sequence**

2) Checking if the sequence is also a geometric sequence:

Since

**So the sequence is an arithmetic sequence.**