To determine if the sequence -5, 0, 5, 10, 15... is arithmetic, geometric, or neither:
1.Arithmetic Sequence:
Calculate the differences between consecutive terms:
0 - (-5) = 5
5 - 0 = 5
10 - 5 = 5
15 - 10 = 5
The differences between consecutive terms are all 5, which is constant. Therefore, the sequence is arithmetic.
2.Geometric Sequence:
Calculate the ratios between consecutive terms:
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