Explanation
The question wants us to determine if the given sequence is an arithmetic sequence
We have the given sequence to be
[tex]12,14,16,18,20[/tex]One of the unique characteristics of arithmetic sequence is that there is a common difference
A common difference is a difference between two consecutive terms of an arithmetic progression.
So, we have
the first term to be 12
the second term to be 14
The difference is
[tex]14-12=2[/tex]Then we also test the second and third term
The third term is 16
the second term to be 14
The difference is
[tex]16-14=2[/tex]Similarly, if we test for the fourth and fifth term
[tex]20-18=2[/tex]We can see that 2 is the common difference
Thus
we can conclude that the sequence is an arithmetic sequence because it has a common difference of 2