Answer:
[tex]f(n) = f(n - 1) - 3[/tex]
Step-by-step explanation:
Assuming the explicit formula is
[tex]f(n) = - 3n + 2[/tex]
Then f(1)=-3+2=-1
f(2)=-6+2=-4
The common difference is -4--1=-3
Then the recursive formula is given as:
[tex]f(n) = f(n - 1) + d[/tex]
[tex]f(n) = f(n - 1) - 3[/tex]