Checking and securing understanding of special number sequences
I can identify the features of special number sequences.
Checking and securing understanding of special number sequences
I can identify the features of special number sequences.
Lesson details
Key learning points
- Special number sequences are not arithmetic.
- Special number sequences are not geometric.
- Special number sequences are generated using different rules.
Keywords
Square number - A square number is the product of two repeated integers.
Cube number - A cube number is the product of three repeated integers.
Triangular number - A triangular number (or triangle number) is a number that can be represented by a pattern of dots arranged into an equilateral triangle.
Sequence - A sequence is an ordered list of terms, usually formed according to a rule.
Nth 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
After becoming very familiar with arithmetic sequences pupils can find the difference between the first two terms and just assume the sequence is arithmetic.
Pupils should check the relationship between all stated consecutive terms as they now have seen a variety of sequences.
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).
Lesson video
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Starter quiz
6 Questions
Exit quiz
6 Questions
1, 3, 6, 10, 15, ... -
common second difference of 1
1, 4, 9, 16, 25, ... -
common second difference of 2
2, 8, 18, 32, 50, ... -
common second difference of 4
10, 30, 60, 100, 150, ... -
common second difference of 10
3, 9, 18, 30, ... -
common second difference of 3
3, 10, 29, 66, ... -
The cube numbers add 2
3, 12, 27, 48, ... -
The square numbers multiplied by 3
5, 12, 31, 68, ... -
The cube numbers add 4
5, 15, 30, 50, ... -
The triangular numbers multiplied by 5
5, 20, 45, 80, ... -
The square numbers multiplied by 5