Answer:
Option B - Arithmetic sequence
Step-by-step explanation:
Given : Sequence -2,0,2,4,6 ......
To find : Define the type of sequence?
Solution :
There are two type of sequence arithmetic and geometric.
In arithmetic sequence the difference between the term is constant.
Difference are
[tex]0-(-2)=2\\2-0=2\\4-2=2\\6-4=2[/tex]
So, There is a common difference.
Therefore, It is an arithmetic sequence.
In geometric sequence the ratio between the term is constant.
Ratio are
[tex]\frac{0}{-2}=0[/tex]
[tex]\frac{2}{0}=\infty[/tex]
[tex]\frac{4}{2}=2[/tex]
[tex]\frac{6}{4}=\frac{3}{2}[/tex]
So, There is no common ratio.
Therefore, It is not a geometric sequence.
Therefore, option B is correct.
