Mathematics·Algebra·procedural
Generating Sequences
Generate terms of a sequence from a term-to-term rule (e.g., 'add 3 each time') or a position-to-term rule (e.g., '2n + 1'), and identify whether a sequence is arithmetic, geometric, or neither
Suggested ages 11–14
Evidence of understanding
- Continue a sequence given a term-to-term rule involving addition, subtraction, or multiplication
- Generate the first five terms from a position-to-term formula such as 3n − 2
- Classify sequences as arithmetic (constant difference), geometric (constant ratio), or other
Assessment prompt
Can Generating Sequences work out the next few terms of a sequence like 5, 8, 11, 14… and explain whether the rule is "add a fixed number each time" or something else?
Standards alignment
8.F.1US · ccss-math
Function definition and graphs
Common Core State Standards for Mathematics · 8
KS3.Maths.Alg.14GB · uk-nc-2013
Generate Terms of a Sequence
The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3
KS3.Maths.Alg.16GB · uk-nc-2013
Geometric and Other Sequences
The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3