Looking for Patterns

We will now look at the meaning of using patterns. We will use the same pattern as we used when looking at the zero index, but we will go a little further.

We have seen that the pattern in this table is to decrease the index by one in the first column, and to divide by 2 in the second and third columns. Using either definition we end up with 1 as the answer for . After that the pattern would continue the same for both definitions.

This gives us the same answer as we obtained by looking at the definitions. This is nice to know and suggests we are onto a good thing.