Recursive
Formulas
Example 2
Find the recursive formula for the sequence: 12, 9, 6, 3, 0 . . .
Step 1. Define the first term.
Step 2. Find the pattern to get from one term to the next.
12 - 3 = 9
9 - 3 = 6
6 - 3 = 3
3 - 3 = 0
Step 3. Write a recursive function to represent this pattern.
Step 4. Put the two parts together into one recursive formula.
The recursive formula is: