Which recursive formula can be used to generate the sequence shown, where f(1) = 5 and n > 1? 5,–1, –7, –13, –19, a) f(n + 1) = f(n) + 6 b) f(n) = f(n +1) – 6 c) f(n +1) = f(n) – 6 d) f(n +1) = –6f(n)

Remark

Start with the ones that are wrong because they are in the wrong order.

To find F(n + 1) in a recursive formula, it must be by itself on the left. That makes B wrong.

Find out the difference in the sequence

You are subtracting 6 from the current term to get to the next term. There is no multiplication anywhere. That makes D wrong.

Now to distinguish A and C, you have to decide between addition and subtraction

You are subtracting 6 from the current term to get to the next one.

C <<<<< Answer