Algebra-1

To determine which sequence is an arithmetic sequence, we need to check if the difference between consecutive terms is constant. An arithmetic sequence has a constant difference between each term.

Let's analyze each sequence:

A. 

Calculate the differences between consecutive terms:

2 - (-2) = 4

6 - 2 = 4

18 - 6 = 12

The differences are 4, 4, and 12, which are not consistent. This sequence is not arithmetic.

B. 

Calculate the differences between consecutive terms:

8 - 12 = -4

4 - 8 = -4

0 - 4 = -4

-4 - 0 = -4

The differences are consistently -4. This sequence is arithmetic with a common difference of (-4).

C.