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.
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.
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.
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.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Video
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Starter quiz
6 Questions
$$3,6,9,12,15, ...$$ -
$$3n$$
$$5,8,11,14,17, ...$$ -
$$3n+2$$
$$5,10,15,20,25, ...$$ -
$$5n$$
$$7,12,17,22,27, ...$$ -
$$5n+2$$
$$1,6,11,16,21, ...$$ -
$$5n-4$$
$$1,4,7,10,13, ...$$ -
$$3n-2$$