Question

Write a recursive rule for the sequence 1, 5, 9, 13, 17.​

Answer 1

`a_(n+1)` =
`a_(n)` + 4

Explanation:

Note the consecutive terms of the sequence have a common difference

d = 5 - 1 = 9 - 5 = 13 - 9 = 17 - 13 = 4, thus

To obtain the next term in the sequence from the previous term add 4 to the previous term, that is

`a_(n+1)` =
`a_(n)` + 4