#### Answer

A(n)=A(n-1)+15 ; A(1)=23

#### Work Step by Step

The formula for a recursive equation is A(n)=A(1-n)+c (c is the common difference)
We can find c by subtracting the first and second terms from each other.
c=38-23
c=15
This gives us the equation A(n)=A(n-1)+15 ; A(1)=23
And since we know the first term in the sequence, we have to list in next to the formula.