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

Answer:
[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 4
Step-by-step 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
[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 4