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A TI-Nspire document, divided into four problems, provides students with the opportunity to create and use sequences in various ways.
Problem 1 introduces term-to-term rules such as: form a sequence by starting with 6 and repeatedly adding 4.
In Problem 2 the focus changes to position-to-term rules such as: position=n, term=4n+2. Students are asked to create sequences using the two rules, first on a Calculator page and then using a spreadsheet. They also see how to use TI-Nspire's built-in Generate Sequence tool.
In Problem 3 dot-plots are used to represent sequences that have been created in spreadsheets. This leads to a series of ten puzzles in Problem 4 where students are required to identify sequences and then fill in the missing terms.
This activity forms part of the OxBox, published by Oxford University Press to support their course 'Oxford GCSE Maths'. http://www.oup.com/oxed/secondary/2010gcse/