Step-by-step explanation
The question wants us to determine if the given sequence is an arithmetic sequence
We have the given sequence to be
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
Then we also test the second and third term
The third term is 16
the second term to be 14
The difference is
Similarly, if we test for the fourth and fifth term
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