To determine if the sequence is arithmetic, geometric, or neither:
1.Arithmetic Sequence:
Calculate the differences between consecutive terms:
-32 - 8 = -40
128 - (-32) = 160
-512 - 128 = -640
The differences between consecutive terms are -40, 160, and -640, which are not constant. Thus, the sequence is not arithmetic.
2.Geometric Sequence:
Calculate the ratios between consecutive terms: