The sequence is arithmetic or geometric and the common difference or ratio is 5.

1. Arithmetic
2. common difference
1) Examining that sequence we can see that:
[tex]\begin{gathered} -6,-1,4,9 \\ -6+5=-1 \\ -1+5=4 \\ 4+5=9 \end{gathered}[/tex]So as we can see this sequence is an Arithmetic one, whose common difference is 5
2) That is the answer.