Extrapolating a sequence
I can appreciate that there are other number sequences and the limitations of only seeing a few terms of a sequence.
Extrapolating a sequence
I can appreciate that there are other number sequences and the limitations of only seeing a few terms of a sequence.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- There are more sequences than the ones seen so far.
- A numerical sequence is just a set of numbers often following a rule.
- If you only see a few of the terms, it is possible to incorrectly deduce the rule.
Keywords
Arithmetic/linear sequence - An arithmetic (or linear) sequence is a sequence where the difference between successive terms is constant.
Geometric sequence - A geometric sequence is a sequence with a constant multiplicative relationship between successive terms.
Common misconception
Sequences are either arithmetic or geometric.
There are many ways sequences can be generated and you can usually find more than one rule than can fit the first few terms of a sequence. Exploring these will ensure pupils don't have a narrow experience of sequences.
To help you plan your year 9 maths lesson on: Extrapolating a sequence, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 9 maths lesson on: Extrapolating a sequence, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
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Explore more key stage 3 maths lessons from the Non-linear relationships unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Starter quiz
6 Questions
Exit quiz
6 Questions
3, 6, 9, 12, ... -
add 3 to the previous term to get the next term.
3, 6, 12, 24, ... -
multiply the previous term by 2 to get the next term.
3, 6, 10, 15, ... -
triangular numbers greater than 1.
3, 6, 12, 21, ... -
add 3, add 6, add 9, common second difference of 3.
3, 6, 15, 42, ... -
triple the previous term and subtract 3 to get the next term.