To determine if the sequence is arithmetic, geometric, or neither:
1.Arithmetic Sequence:
Calculate the differences between consecutive terms:
0 - (-2) = 2
-2 - 0 = -2
0 - (-2) = 2
The differences alternate between 2 and -2, so they are not constant. Therefore, the sequence is not arithmetic.
2.Geometric Sequence:
Calculate the ratios between consecutive terms: