## Algebra 1: Common Core (15th Edition)

The recursive formula for the arithmetic sequence is: $A(n)=A(n-1) + 0.25$ where $A(1)=3$ The explicit formula is: $A(n)=3 + (n-1)0.25$
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: $A(n)=3 + (n-1)0.25$