Question

(Note): Hello! I am really stuck on this problem and am trying to figure out how to solve it! I don't want the answer, I just want to know how to solve an equation like this:

Consider a sequence whose first five terms are: -1.75, -0.5, 0.75, 2, 3.25

Which function (with domain all integers n ≥ 1) could be used to define and continue this sequence?

A. f(n) = 7/4(n - 1) - 5/4

B. f(n) = 5/4(n - 1) - 7/4

C. f(n) = 7/4n - 5/4

D. f(n) = 5/4n - 7/4

Any help is appreciated! Thanks in advance!

Answer 1

each term is 1.25 more than the last, so the slope is 5/4
That means only B,D are possible.
Now plug in n=4 and see which formula correctly gives the value 2

Answer 2

Thank you oobleck! I got B, so I'm gonna go with that!