Recursive

Formulas

Example 2

Find the recursive formula for the sequence: 12, 9, 6, 3, 0 . . .

Step 1. Define the first term.

RecursiveEx2-1

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.

RecursiveEx2-2

Step 4. Put the two parts together into one recursive formula.

The recursive formula is: RecursiveEx2-3