Asequence is defined recursively by the formula f(n + 1) = f(n) + 3 . the first term of the sequence is –4. what is the next term in the sequence?

a.–7

b.–1

c.1

d.7

By the recursive formula it can be seen that each term is 3 greater than the previous term.  Or in arithmetic sequence terms, 3 is the common difference.

So if the first term is -4, the next term is -4+3=-1

Neither is the answer