Question

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

Answer 1

D

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