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Learning objective

[Foundation and Higher] Deduce expressions to calculate the nth term of linear sequences.

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Topic

Sequences

Subtopic

Nth term

AQA GCSE MathematicsAlgebra

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Short explanation

[Foundation and Higher] Deduce expressions to calculate the nth term of linear sequences. is assessed within Sequences. Linear sequence work begins with a constant first difference, which becomes the coefficient of n in the nth-term expression. Students compare the sequence with the multiples of that coefficient, find the adjustment term, and test the rule on at least one term. This is not quadratic sequence work because the first difference is constant and no second-difference argument is needed. For exam answers, show the chosen representation, calculation step or graph reading before giving the final value.

Key concepts

nth term

Why it matters

This objective helps connect Nth term to exam-style questions, flashcards, and revision notes for Sequences.

Common mistakes

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  • Nth term common mistake 1: Show the method first, then give the final answer in the required form. Apply this directly to Nth term.

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