Question

What is the recursive rule for the sequence −3, −1, 1, 3...?

Answer 1

+2

Explanation:

-3 + 2 = -1

-1 + 2 = 1

1 + 2 = 3

Answer 2

`a_(n)` =
`a_(n-1)` + 2

Explanation:

There is a common difference d between consecutive terms, that is

d = - 1 - (- 3) = 1 - (- 1) = 3 - 1 = 2

A recursive rule allows a term in the sequence to be found by adding d to the previous term, that is

`a_(n)` =
`a_(n-1)` + 2