Algebra-1

To determine if the sequence -8, -3, 2, 7, 12... is arithmetic, geometric, or neither, let's analyze it:

1.Arithmetic Sequence:

Calculate the differences between consecutive terms:

-3 - (-8) = 5

2 - (-3) = 5

7 - 2 = 5

12 - 7 = 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: