# Linking Sequences

'Use Geogebra to link geometrical patterns to sequences and their graphs’

Why are patterns so visually appealing ? It is because of their internal mathematical structure. This activity will explore some pretty pictures and find out why they are mathematically attractive. Number, geometry and algebra are often seen as 3 different mathematical topics. This activity shows that they can represent the same thing.

Video help file (no sound):

Resources

This activity can be completed using Geogebra or any other graphing software

Find instructions for students to follow for Geog Instructions

There are 3 different levels of sequences Sequences A Sequences B Sequences C

You can see the type of file that students might produce Example Geogebra file

You can download Geogebra free software from here Geogebra

### Description

- Students are provided with cards containing geometrical patterns.
- There are 3 levels of difficulty (A, B & C).
- Each pattern is made up of sequences of shaded squares.
- The aim is to find the general rule for the number of squares shaded in each pattern.
- Sudents will count the number of shaded squares and plot the graphs using Geogebra.
- Students should then try to find the equation of the line and hence the nth term of the sequence.
- Students could make up some geometrical patterns of their own and find their general terms.

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