Sign In | Starter Of The Day | Tablesmaster | Fun Maths | Maths Map | Topics | More

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.
- Handshakes If everyone in this room shook hands with each other, how many handshakes would there be?
- 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 and Cubic Sequences Deduce expressions to calculate the nth term of quadratic and cubic sequences.

Here are some exam-style questions on this statement:

- "
*The first five terms of an arithmetic sequence are:*" ... more - "
*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 - "
*A celebrity football match is planned to take place in a large stadium.*" ... more

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

How do you teach this topic? Do you have any tips or suggestions for other teachers? It is always useful to receive feedback and helps make these free resources even more useful for Maths teachers anywhere in the world. Click here to enter your comments.