Question

A sequence 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

Answer 1

f(n+1) = f(n) + 3 indicates that we add 3 to the previous term to get the next term

So,
next term = (previous term) + 3
second term = (first term) + 3
second term = (-4) + 3
second term = -1

Making the answer to be choice B) -1