Question

Write a recursive rule for the sequence 4,10,16,22

Answer 1

`a_(n+1)` =
`a_(n)` + 6

Explanation:

The terms have a common difference d between consecutive terms, that is

10 - 4 = 16 - 10 = 22 - 16 = 6

To obtain the next term add 6 to the previous term ( recursive rule ), thus

`a_(n+1)` =
`a_(n)` + 6 with a₁ = 4