Generating Sequences
Mathematics · Algebra · procedural
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
What mastery looks like
- 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
Check your understanding
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?
Prerequisites
Required first
Helpful