Students learn how about creating a sequence using formulae. Students progress from using function machines to the order of operations to write the first six terms of a sequence.At the start of the lesson students recap describing picture sequences. In the main part they laern how to write a sequence from a formula using a table of results. At the end of the they think about which terms can and cannot appear in certain sequences.This lesson includes a standalone IT activity where students use a spreadsheet to generate sequences from a formula.

**Differentiated Learning Objectives**

- All students should be able to generate the first five terms of a positive linear sequence.
- Most students should be able to generate any term of a sequence using the nth term.
- Some students should be able to set up and solve an equation using the nth term to find the position number of a term.

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