\( \DeclareMathOperator{cosec}{cosec} \)

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

- Missing Terms Can you work out which numbers are missing from these number sequences?
- Leapfrog An investigation of the minimum number of moves required to make the blue and green frogs swap places.
- Matchstick Patterns Create a formula to describe the nth term of a sequence by examining the structure of the diagrams.
- Arithmetic Sequences An exercise on linear sequences including finding an expression for the nth term and the sum of n terms.
- Arithmetic Sequences Video A reminder of how to find the next term, the nth term and the sum of terms of an arithmetic or linear sequence.
- Handshakes If everyone in this room shook hands with each other, how many handshakes would there be?
- Venn Diagram of Sequences Find the formula for the nth term of sequences that belong in the given sets.
- Quadratic and Cubic Sequences Deduce expressions to calculate the nth term of quadratic and cubic sequences.
- Sequences Table Challenge Complete the table showing the terms of the sequences and the formulas for the nth terms.
- Parts of Sequences Find the formula that describes the part of the sequence that can be seen

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 - "
*Work out an expression for the n*" ... more^{th}term of the quadratic sequence - "
*Here are the first six terms of a quadratic sequence.*" ... more - "
*Find an expression, in terms of \(n\), for the \(n\)th term of the sequence that has the following first five terms:*" ... more - "
*Here are the first six terms of a quadratic sequence.*" ... 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

Here is an Advanced Starter on this statement:

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

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