Recursive

Formulas

Example 3

Find the recursive formula given the following table:

RecursiveEx3Table

In this example, the initial term is the 0 term, not 1. Most of the time, recursive formulas begin with either term 0 or 1. There are other ways to show the initial term including RecursiveEx3-1 for the zero term or RecursiveEx3-1a for the first term. Other letters may be used as well. In this case, RecursiveEx3-2.

Now find the pattern in the table. From one term to the next, a constant amount is not added but multiplied.

RecursiveEx3-2a

In this case, to go from one term to the next, multiply by 3. Therefore, the recursive formula is:

RecursiveEx3-2;RecursiveEx3-3