We can say that it's an arithmetic sequence since it has a common rate of change or common difference of 4.
Arithmetic sequences are represented by the following formula:
Recursive formula:
[tex]\begin{gathered} a_n=a_{n-1}+d \\ \text{Explicit formula:} \\ a_n=a_1+(n-1)d \\ \text{The next three numbers would be: }a_6,a_7,a_8 \end{gathered}[/tex]an= nth term
a1= 1st term
n= number of terms
d= common difference
[tex]\begin{gathered} a_6=5+(6-1)\cdot4 \\ a_6=25 \\ a_7=5+(7-1)\cdot4 \\ a_7=29_{} \\ a_8=5+(8-1)\cdot4_{} \\ a_8=33 \end{gathered}[/tex]