Answer:
b
Step-by-step explanation:
The sequence will be arithmetic with 4 terms and a common difference d, which requires to be found.
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a + (n - 1)d
where a is the first term
here a = - 1, n = 4 and [tex]a_{4}[/tex] = 59, hence
- 1 + 3d = 59 ( add 1 to both sides )
3d = 60 ( divide both sides by 3)
d = 20, thus the four terms are
-1
- 1 + 20 = 19
19 + 20 = 39
39 + 20 = 59, that is
- 1, 19, 39, 59 → b
