How can properties help me divide?
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So have the sequence: 
To check if the sequence is geometric, we are going to find its common ratio; to do it we are going to use the formula:
where
is the common ratio
is the current term in the sequence
is the previous term in the sequence
In other words we are going to divide the current term by the previous term a few times, and we will to check if that ratio is the same:
For
and 
:
For
and 
:
For
and 
:
As you can see, we have a common ratio!
We can conclude that our sequence is a geometric sequence and its common ratio is
To check if the sequence is geometric, we are going to find its common ratio; to do it we are going to use the formula:
where
In other words we are going to divide the current term by the previous term a few times, and we will to check if that ratio is the same:
For
For
For
As you can see, we have a common ratio!
We can conclude that our sequence is a geometric sequence and its common ratio is