Answer
The recursive formula for the arithmetic sequence is: $A(n)=A(n-1) + 2.5$ where $A(1)=4$
The explicit formula is: $A(n)=4 + (n-1)2.5$
Work Step by Step
$A(1) =4$
$A(2) = A(1) + 2.5=6.5$
$A(3)=A(2) + 2.5=9$
$A(4)=A(3) + 2.5=11.5$
The recursive formula for the arithmetic sequence is: $A(n)=A(n-1) + 2.5$ where $A(1)=4$
$A(n)=A(n-1) +2.5$
$A(n)=A(1) + (n-1)d$
$A(n)=4 + (n-1)2.5$
The explicit formula is: $A(n)=4 + (n-1)2.5$
