AQA GCSE Mathematics · 8300
Specification A24 · Paper 1, Paper 2, Paper 3
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GCSE Mathematics · key term
A sequence in which the difference between consecutive terms is constant.
Used by AQA, Edexcel and OCR
Specification A24 · Paper 1, Paper 2, Paper 3
Specification A24 · Paper 1, Paper 2, Paper 3
A sequence in which the difference between each term and the next is constant.
The terms of an arithmetic progression lie on a straight-line pattern when term value is plotted against position, because the same amount is added for every step. A geometric progression generally curves because the amount added is not fixed: multiplying a larger term produces a larger numerical increase. The plotted points are discrete terms, so positions between the positive integers are not additional sequence terms.
For an arithmetic progression, check the difference between every pair of adjacent terms; one matching difference is not enough.
For an arithmetic progression, include the sign of the common difference: a descending sequence has .
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Specification 6.06b · Paper 1 (Foundation), Paper 2 (Foundation), Paper 3 (Foundation), Paper 4 (Higher), Paper 5 (Higher), Paper 6 (Higher)
A sequence with the same difference between each pair of consecutive terms.
Revise: Special Sequence TypesIn an arithmetic progression, you add or subtract the same amount each time.