Question

A sequence is defined recursively by the formula f(n + 1) = f(n) + 2.

The first term of the sequence is -1. What are the next 3 terms in the sequence?

Answer 1

1, 3, 5

Explanation:

using the recursive formula and f(1) = - 1 , then

f(2) = f(1) + 2 = - 1 + 2 = 1

f(3) = f(2) + 2 = 1 + 2 = 3

f(4) = f(3) + 2 = 3 + 2 = 5

the next 3 terms in the sequence are 1, 3, 5