Algebra-1

To determine if the sequence -14, -9, -4, 1, 6... is arithmetic, geometric, or neither, let's analyze it:

1.Arithmetic Sequence:

Calculate the differences between consecutive terms:

-9 - (-14) = 5

-4 - (-9) = 5

1 - (-4) = 5

6 - 1 = 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:

Click "Show Answer" to reveal the answer and analysis