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GCSE Mathematics · key term
A number of objects that can be arranged in a triangular pattern; the th triangular number is .
Specification A24 · Paper 1, Paper 2, Paper 3
Revise: Common Number Patterns and Fibonacci SequencesSquare numbers count objects arranged in equal rows and columns, cube numbers count objects arranged in equal layers, and triangular numbers count objects arranged in rows of increasing length.
Specification A24 · Paper 1, Paper 2, Paper 3
A number that can be represented by dots arranged in a triangular pattern; the th triangular number is .
For a triangular number, add the next counting number each time: the differences are 2, 3, 4, 5, …, not constant.
Square and triangular numbers are also quadratic sequences: a sequence can have more than one valid description.
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Used by AQA, Edexcel and OCR
You may also need to express a number using triangular numbers.
Specification 6.06b · Paper 1 (Foundation), Paper 2 (Foundation), Paper 3 (Foundation), Paper 4 (Higher), Paper 5 (Higher), Paper 6 (Higher)
A number in the sequence formed by adding consecutive positive integers, starting at 1; the th triangular number is .