Final answer:
The given sequence -3/4, -1/2, -1/4, 0 is arithmetic with a common difference of 1/4.
Step-by-step explanation:
The given sequence is -3/4, -1/2, -1/4, 0. To determine if this sequence is arithmetic, we need to check if there is a common difference between each term. We can do this by subtracting each term from its previous term.
-1/2 - (-3/4) = -1/2 + 3/4 = 1/4
-1/4 - (-1/2) = -1/4 + 1/2 = 1/4
0 - (-1/4) = 0 + 1/4 = 1/4
Since the difference between each term is 1/4, which is constant, the given sequence is arithmetic with a common difference of 1/4.