Question

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

Answer 1

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

Answer 2

A. Algebraic, common difference = −10

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.