Determine if the sequence is algebraic or geometric, and find the common difference or ratio.

x 1 2 3 4

f (x) 5 - 5 - 15 - 25

A. Algebraic, common difference = - 10

B. Algebraic, common difference = - 1

C. Geometric, common ratio = - 10

D. Geometric, common ration = - 1

A. Algebraic, common difference = - 10

Step-by-step explanation:

The difference between the first two terms is - 10, as it is between the next two terms. The ratio of the first two terms is - 1; of the next pair: - 15/-5 = 3. There is a common difference, but not a common ratio.

The sequence is algebraic with a common difference of - 10.

Correct answer is A. Algebraic, common difference = - 10