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These are the Transum resources related to the statement: "Arithmetic sequences and series. Use of the formulae for the nth term and the sum of the first n terms of the sequence. Use of sigma notation for sums of arithmetic sequences".

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

- Arithmetic Sequences An exercise on linear sequences including finding an expression for the nth term and the sum of n terms.
- Matchstick Patterns Create a formula to describe the nth term of a sequence by examining the structure of the diagrams.

Here are some exam-style questions on this statement:

- "
*(a) Find the \(n\)th term of the sequence 7, 13, 19, 25,...*" ... more - "
*The first three and last terms of an arithmetic sequence are \(7,13,19,...,1357\)*" ... more - "
*An arithmetic sequence is given by 6, 13, 20, …*" ... more - "
*In an arithmetic sequence, the fifth term is 44 and the ninth term is 80.*" ... more - "
*A celebrity football match is planned to take place in a large stadium.*" ... more - "
*A Grecian amphitheatre was built in the form of a horseshoe and has 22 rows.*" ... more

Click on a topic below for suggested lesson starters, resources and activities from Transum.

The IB syllabus includes the following notes:

Spreadsheets, GDCs and graphing software may be used to generate and display sequences in several ways. If technology is used in examinations, students will be expected to identify the first term and the common difference.

Examples of applications include simple interest over a number of years.

Analysis, interpretation and prediction where a model is not perfectly arithmetic in real life. Students will need to approximate common differences.

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