Answer
A recursive rule for the sequence is
$a_1=4.5,a_n=a_{n-1}+1.5$
Work Step by Step
The given explicit rule is
$a_n=1.5n+3$
First term is
$a_1=1.5+3=4.5$
Common difference is
$d=1.5$
Recursive equation for an arithmetic sequence.
$a_n=a_{n-1}+d$
Substitute $1.5$ for $d$.
$a_n=a_{n-1}+1.5$
Hence, a recursive rule for the sequence is
$a_1=4.5,a_n=a_{n-1}+1.5$
