The explicit formula of the arithmetic sequence is:
[tex]a_n=a_1+(n-1)d[/tex]Given the formula
[tex]a_n=8-5(n-1)[/tex]then,
a1 = 8
d = -5
The recursive formula of the arithmetic sequence is:
[tex]\begin{cases}a_1 \\ a_n=a_{n-1}+d\end{cases}[/tex]In this case:
[tex]\begin{cases}a_1=8 \\ a_n=a_{n-1}-5\end{cases}[/tex]