Generating a sequence using a term-to-term rule
I can appreciate that a sequence can be generated and described using term-to-term approaches.
Generating a sequence using a term-to-term rule
I can appreciate that a sequence can be generated and described using term-to-term approaches.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- Sequences can be created using a rule that tells you how to find the next term from the current one.
- These sequences could be related additively or multiplicity.
- These sequences could be related in other ways.
- This term-to- term method is time consuming when you want to find higher terms in the sequence .
- It is possible to describe the rule when given some of the terms although this may not be unique.
Keywords
Term-to-term - A term-to-term rule describes how to calculate the next term in the sequence from the previous term.
Common misconception
The difference in the given terms divided by the number of missing terms gives the common difference
Write the sequence out with gaps for the missing terms. Model how many additions (jumps) to get from one known term to the next.
To help you plan your year 8 maths lesson on: Generating a sequence using a term-to-term rule, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 8 maths lesson on: Generating a sequence using a term-to-term rule, 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 Sequences unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Starter quiz
6 Questions
..., 1, 0.25, ... -
Multiply the previous term by $$1\over 4$$
..., -8, -20, ... -
add (-12) to the previous term
..., -2, -5, ... -
halve the previous term and subtract 4
..., -6, -14, ... -
subtract 12, then subtract 10, then subtract 8 ...
..., 2, 10, ... -
subtract 12, then subtract 2, then subtract -8 ...
$$4.1\times 0.1$$ -
0.41
$$4.1\div 0.1$$ -
41
$$41\times 10$$ -
410
$$41\times 0.1 $$ -
4.1
$$410\div 0.1$$ -
4100
Exit quiz
6 Questions
8, 12, 18, 27, ... -
multiply the previous term by $$3\over 2$$
8, 12, 16, 20, ... -
add 4 to the previous term
8, 12, 20, 32, ... -
add 4, then add 8, then add 12, ...
8, 12, 20, 36, ... -
double the previous term then subtract 4
8, 12, 17, 23, ... -
add 4, then add 5, then add 6, ...