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.

both equations and proportions are better.

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step-by-step explanation: