Answer:
D
Step-by-step explanation:
Note the difference between the consecutive terms is constant, that is
5 - 8 = 2 - 5 = - 1 - 2 = - 3
This means that to obtain the next term in the sequence f(n + 1) subtract 3 from the previous term f(n)
Hence
f(n + 1) = f(n) - 3 , with f(1) = 8 , n ≥ 1
As an example the term following - 1
f(5) = f(4) - 3 = - 1 - 3 = - 4
f(6) = f(5) - 3 = - 4 - 3 = - 7 , and so on
