Reasoning about values in an arithmetic sequence
I can reason whether a value appears in a given sequence.
Reasoning about values in an arithmetic sequence
I can reason whether a value appears in a given sequence.
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Lesson details
Key learning points
- It is possible to generate the sequence and therefore show whether a value appears in the sequence.
- It is possible to use your knowledge of multiples to reason whether a value appears in a given sequence.
Keywords
Arithmetic sequence - An arithmetic (or linear) sequence is a sequence where the difference between successive terms is a constant.
N^th term - The nth term of a sequence is the position of a term in a sequence where n stands for the term number.
Common misconception
As long as the equation can be solved, the value will be in the sequence.
For the value to be in the sequence, the value for $$n$$ must be a positive integer. If it is not, then the value is not in the sequence as the term number must be a positive integer.
To help you plan your year 11 maths lesson on: Reasoning about values in an arithmetic sequence, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 11 maths lesson on: Reasoning about values in an arithmetic sequence, download all teaching resources for free and adapt to suit your pupils' needs.
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Explore more key stage 4 maths lessons from the Further 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
$$3,6,9,12,15, ...$$ -
$$3n$$
$$5,8,11,14,17, ...$$ -
$$3n+2$$
$$5,10,15,20,25, ...$$ -
$$5n$$
$$7,12,17,22,27, ...$$ -
$$5n+2$$
$$1,6,11,16,21, ...$$ -
$$5n-4$$
$$1,4,7,10,13, ...$$ -
$$3n-2$$
Exit quiz
6 Questions