MathematicsAlgebraAges 12–14
Nth-Term Rules
Find the nth-term expression for an arithmetic sequence by identifying the common difference and the zero-term, and use it to determine any term in the sequence or test whether a given number belongs to the sequence
Learning resources
Reviewed external links that reinforce this concept. They do not replace Gakuva’s teaching approach.
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The teaching approach above still stands. Curated practice links will appear here as the shelf fills.
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Nth-Term RulesProcedural concept
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Check understanding
- Derive the nth-term rule for an arithmetic sequence such as 3, 7, 11, 15, … as 4n − 1
- Use an nth-term formula to find the 50th or 100th term without listing all preceding terms
- Determine whether a given number (e.g., 99) is a term in a specified arithmetic sequence
“If your child is given the sequence 4, 7, 10, 13…, can they find a formula for the nth term — and use it to check whether, say, 100 is in the sequence?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Algebra
- Age range
- Ages 12–14
Standards
ccss-math:8.F.4uk-nc-2013:KS3.Maths.Alg.15