Matching Sequences
Know how to find the nth term of an arithmetic sequence? Fully understand geometric sequences? But how do they look? Can you picture them? Being able to visualize these sequences helps fully understand their inner structures. In this activity computer software is required.
This page addresses the following items from the syllabus:
Sequences
- Continue a given number sequence or pattern
- Recognise patterns in sequences, including the term-to-term rule, and relationships between different sequences.
- Find and use the nth term of linear, quadratic, cubic and exponential sequences and simple combinations of these
Resources
Here are 10 sequences generated using graphing software 
Matching sequences questions
Here are some hints to help the students get started Matching sequences hints
Teachers may wish to read these accompanying notes 
Matching sequences
Description
- Students are presented with 10 sequences and are asked to find their nth terms.
- Sequences are arithmetic, geometric, quadratic and one “other”. However, the extra challenge is that the sequences are represented in a graphical form.
- In this activity, the students used technology to allow the students to make the link between the visual graphic of the sequence, the nth term and the numerical sequence.
- Students should use trial and improvement to find the nth terms of the sequences and the technology allows them to check their own answers.
- Here is an example of what will be produced
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