Three terms of an arithmetic sequence are shown below. Which recursive formula defines the sequence?

f(1) = 6, f(4) = 12, f(7) = 18

A.f (n + 1) = f(n) + 6
B.f (n + 1) = 2f(n)
C.f (n + 1) = f(n) + 2
D.f (n + 1) = 1.5f(n)

C. f(n + 1) = f(n) + 2