Final answer:
The given sequence is geometric with a common ratio of approximately 1.93. A function for the sequence is f(n) = -2n + 0.25.
Step-by-step explanation:
The given sequence is -
0.25, -1.75, -3.75, -5.75, -7.75,...
To determine if the sequence is arithmetic or geometric, we need to find the common difference or common ratio between consecutive terms.
Since the difference between consecutive terms is not constant, the sequence is not arithmetic. However, if we divide each term by the previous term, we get 7, 2.14, 1.93, 1.67, which indicates a common ratio. Therefore, the sequence is geometric with a common ratio of approximately 1.93.
A function for the given sequence is:
f(n) = -2n + 0.25