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):


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


  • 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.
All materials on this website are for the exclusive use of teachers and students at subscribing schools for the period of their subscription. Any unauthorised copying or posting of materials on other websites is an infringement of our copyright and could result in your account being blocked and legal action being taken against you.