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.
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
..., 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, ...