🔢 Mathematics · Algebra

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

Typical age: 12–14 years

“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?”

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Solving Linear Equations
Testing whether a number is in a sequence requires solving a linear equation
Generating SequencesREQUIRED
Finding nth term requires experience generating and classifying sequences first

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