Mathematics Algebra Procedural 11–14 yrs

Generating Sequences

生成数列

Description

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

Mastery Evidence

✓ 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 your child 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?