Given f(9) = - 2, which function can be used to generate the sequence 8, 7.25, 6.5, 5.75,...?

(1) f(n)= - 8 + 0.75n (2) f(n)= - 8 - 0.75(n -1)

(3) f(n) = - 8.75 + 0.75n

(4) f(n) = - 0.75+ 8(n- 1)

Answer and Explanation:

First we can plug in n=9, to figure out which function would give us -2 as the answer. Choice 1, gives -1.25 as the answer for f(9)

Choice 2, gives -14.

Choice 3, gives -2 as the answer

Choice 4, does not give us -2 as the answer and therefore this leaves us with choice (3) as the correct answer.