Which function describes the arithmetic sequence shown?

-5, - 7, - 9,-11, - 13, ...

A. f (x) = - 3x + 2

B. f (x) = - 2x + 3

C. f (x) = - 3x - 2

D. f (x) = - 2x - 3

D

Step-by-step explanation:

The n th term of an arithmetic sequence in functional notation is

f (x) = a₁ + (x - 1) d

where a₁ is the first term and d the common difference

d = - 7 - ( - 5) = - 7 + 5 = - 2 and a₁ = - 5, thus

f (x) = - 5 - 2 (x - 1) = - 5 - 2x + 2 = - 2x - 3 → D