Answer
The recursive formula for the arithmetic sequence is: $A(n)=A(n-1) + (-3)$ where $A(1)=-2$
The explicit formula is: $A(n)=-2 + (n-1)(-3)$
Work Step by Step
$A(1) =-2$
$A(2) = A(1) + (-3)=-5$
$A(3)=A(2) + (-3)=-8$
$A(4)=A(3) + (-3)=-11$
The recursive formula for the arithmetic sequence is: $A(n)=A(n-1) + (-3)$ where $A(1)=-2$
$A(n)=A(n-1) +(-3)$
$A(n)=A(1) + (n-1)d$
$A(n)=-2 + (n-1)(-3)$
The explicit formula is: $A(n)=-2 + (n-1)(-3)$
