Students learn how to generate a recurrence sequence.

Later, as learning progresses they work out the formula from the sequence.

**Differentiated Learning Objectives**

- All students should be able to generate the first six terms of a recurrence sequence in the form U
_{n+1} - Most students should be able to generate the first six terms of a recurrence sequence using the previous term.
- Some students should be able to generate the first six terms of a recurrence sequence in the form U
_{n+2}= aU_{n+1}U_{n}