Answer
A recursive rule for the sequence is
$a_1=0,a_n=a_{n-1}-1$
Work Step by Step
The given explicit rule is
$a_n=-n+1$
First term is
$a_1=-1+1=0$
Common difference is
$d=-1$
Recursive equation for an arithmetic sequence.
$a_n=a_{n-1}+d$
Substitute $-1$ for $d$.
$a_n=a_{n-1}-1$
Hence, a recursive rule for the sequence is
$a_1=0,a_n=a_{n-1}-1$
