Final answer:
The sequence {-1, 3, 7, 11, 15} is an arithmetic sequence because each term increases by a consistent difference of 4.
Step-by-step explanation:
To determine whether the sequence \{-1, 3, 7, 11, 15\} is arithmetic or geometric, we need to analyze the differences or ratios between consecutive terms.
For an arithmetic sequence, the difference between consecutive terms is consistent. For example:
- 3 - (-1) = 4
- 7 - 3 = 4
- 11 - 7 = 4
- 15 - 11 = 4
Since each term is increasing by the same difference of 4, this sequence is indeed an arithmetic sequence.
In a geometric sequence, the ratio between consecutive terms is consistent, which is not the case here.