The recursive equation of the explicit equation is A(n) = A(n - 1) - 4, A(1) = -1
How to determine the recursive equation
From the question, we have the following parameters that can be used in our computation:
An = -4n + 3
Set n = 1, 2 and 3
A(1) = -4(1) + 3 = -1
A(2) = -4(2) + 3 = -5
A(3) = -4(3) + 3 = -9
In the above sequence, we can see that -4 is added to the previous term to get the new term
So, we have the recursive equation to be
A(n) = A(n - 1) - 4, A(1) = -1
Question
Write the recursive equation, given the explicit: An =-4n + 3