Algebra-1

To determine if the sequence -11, -6, -1, 4, 9... is arithmetic, geometric, or neither, let's analyze it:

1.Arithmetic Sequence:

Calculate the differences between consecutive terms:

-6 - (-11) = 5

-1 - (-6) = 5

4 - (-1) = 5

9 - 4 = 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