OCR•A-Level•Mathematics
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Sequences and Series
Binomial expansion, arithmetic and geometric sequences, and sigma notation
Practice 25 subtopics in Sequences and Series. All questions match the OCR A-Level specification.
About Sequences and Series
Sequences and Series is a key topic in the OCR A-Level Mathematicsspecification. This topic covers binomial expansion, arithmetic and geometric sequences, and sigma notation.
Master all 25 subtopics below with unlimited AI-generated questions. Each subtopic page includes sample questions and the ability to generate unlimited practice questions with detailed solutions.
All Subtopics (25)
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Pascal's triangleFactorial notation n!Binomial coefficients ⁿCᵣBinomial expansion of (a + b)ⁿ for positive integer nFinding specific terms and coefficientsBinomial expansion for estimationDefinitions of sequencesnth term formulaeRecurrence relationsIncreasing, decreasing, and periodic sequencesArithmetic sequences: uₙ = a + (n-1)dArithmetic series: Sₙ = n/2[2a + (n-1)d]Arithmetic series: Sₙ = n/2(a + l)Sum of first n natural numbersGeometric sequences: uₙ = arⁿ⁻¹Geometric series: Sₙ = a(1 - rⁿ)/(1 - r)Sum to infinity: S∞ = a/(1 - r) for |r| < 1Convergence conditionsSigma notation for sumsEvaluating sums using sigma notationBinomial expansion of (1 + x)ⁿ for rational nBinomial expansion of (a + bx)ⁿ for rational nRange of validity |x| < 1Using binomial expansion for approximationsModelling with sequences and series
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