Chapter 4 - An Introduction to Functions - 4-7 Arithmetic Sequences - Practice and Problem-Solving Exercises - Page 279: 43

A(n) = A(n - 1) - 5 ; A(1) = 3

The formula for a recursive expression is A(n) = (n - 1) + c (c represents the common difference) All of the missing pieces in this equation are provided in the explicit equation in the question where the c value is the d value in the explicit equation and A(1) is listed before (n - 1). C = -5 A(1) = 3 After we plug this in the explicit expression, we get the formula A(n) = A(n - 1) - 5 ; A(1) = 3