Question

Recursive formula for 3,5,7,9,11

Answer 1

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

Explanation:

There is a common difference d between consecutive terms

d = 5 - 3 = 7 - 5 = 9 - 7 = 11 - 9 = 2

A recursive formula allows a term in the sequence be found by adding d to the previous term, then

`a_(n)` =
`a_(n-1)` + 2 : with a₁ = 3