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These are the Transum resources related to the statement: "Pupils should be taught to deduce expressions to calculate the nth term of linear {and quadratic} 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.
- Missing Terms Can you work out which numbers are missing from these number sequences?
- Quadratic Sequences Deduce expressions to calculate the nth term of quadratic sequences.

Here are some exam-style questions on this statement:

- "
*Here is a picture of four models. Some of the cubes are hidden behind other cubes.*" ... more - "
*This expression can be used to generate a sequence of numbers.*" ... more - "
*Find an expression, in terms of \(n\), for the \(n\)th term of the sequence that has the following first five terms:*" ... more - "
*The diagrams above show a growing fractal of triangles. The sides of the largest equilateral triangle in each diagram are of length 1 metre.*" ... more - "
*The diagrams below show a sequence of patterns made from red and yellow tiles.*" ... more

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

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