In order to find the recursive definition for an arithmetic sequence, we can use the formula below:
[tex]a_n=a_{n-1}+d[/tex]
Where d is the common difference.
Looking at the series, each term is 5 units more than the term before, therefore we have d = 5. Also, the first term is a1 = 0.
So the recursive definition is:
[tex]\begin{gathered} a_n=a_{n-1}+5,\text{ }n\geq2\\ \\ a_1=0 \end{gathered}[/tex]
