Answer
The recursive formula for the arithmetic sequence is: $A(n)=A(n-1) + 0.25$ where $A(1)=3$
The explicit formula is: $A(n)=3 + (n-1)0.25$
Work Step by Step
The sequence has a common difference of 0.25, so it is arithmetic.
$A(1) =3$
$A(2) =A(1) + 0.25=3.25$
$A(3)=A(2) + 0.25=3.5$
$A(4)=A(3) + 0.25=3.75$
The recursive formula for the arithmetic sequence is: $A(n)=A(n-1) + 0.25$ where $A(1)=3$
$A(n)=A(n-1) +0.25$
$A(n)=A(1) + (n-1)d$
$A(n)=3 + (n-1)0.25$
The explicit formula is: $A(n)=3 + (n-1)0.25$
