Answer
A recursive rule for the sequence is
$a_1=-2,a_n=a_{n-1}-4$
Work Step by Step
The given explicit rule is
$a_n=-4n+2$
First term is
$a_1=-4+2=-2$
Common difference is
$d=-4$
Recursive equation for an arithmetic sequence.
$a_n=a_{n-1}+d$
Substitute $-4$ for $d$.
$a_n=a_{n-1}-4$
Hence, a recursive rule for the sequence is
$a_1=-2,a_n=a_{n-1}-4$
