GlossariesIGCSE GlossariesIGCSE Maths GlossaryArithmetic Sequence

Arithmetic Sequence - IGCSE Maths Definition

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What is an arithmetic sequence in IGCSE maths?

In IGCSE Maths, a sequence is an ordered list of numbers that follow a specific pattern or rule. An arithmetic sequence is a sequence where each term increases or decreases by a constant difference. This constant difference is called the common difference (d).

The general form of an arithmetic sequence follows the pattern

a comma space a plus d comma space a plus 2 d comma space a plus 3 d comma space.....

where:

  • a is the first term

  • d is the common difference

The formula for the nth term of an arithmetic sequence is

u subscript n equals a plus open parentheses n minus 1 close parentheses d

where:

  • u subscript n is the nth term

Arithmetic sequences revision resources to ace your exams

You can find out more about arithmetic sequences, and how they can be used, by reading our revision notes. To test your knowledge, try our exam questions in the sequences section.

For quick-fire IGCSE maths revision, use our collection of interactive flashcards for IGCSE maths. We also have past papers for your exam practice.

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Amber

Reviewer: Amber

Expertise: Maths Content Creator

Amber gained a first class degree in Mathematics & Meteorology from the University of Reading before training to become a teacher. She is passionate about teaching, having spent 8 years teaching GCSE and A Level Mathematics both in the UK and internationally. Amber loves creating bright and informative resources to help students reach their potential.

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