Answer
The recursive formula for the arithmetic sequence is $A(n)=A(n-1) +5$ where $A(1)=3$
The explicit formula is $A(n)=3 + (n-1)5$
Work Step by Step
$A(1) =3$
$A(2) = A(1) + 5=8$
$A(3)=A(2) + 5=13$
$A(4)=A(3) + 5=18$
The recursive formula for the arithmetic sequence is $A(n)=A(n-1) +5$ where $A(1)=3$
$A(n)=A(n-1) +5$
$A(n)=A(1) + (n-1)d$
$A(n)=3 + (n-1)5$
The explicit formula is $A(n)=3 + (n-1)5$