Edexcelβ’A-Levelβ’Mathematics
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Sequences and Series
Arithmetic and geometric sequences, sigma notation, and binomial expansion
Practice 21 subtopics in Sequences and Series. All questions match the Edexcel A-Level specification.
About Sequences and Series
Sequences and Series is a key topic in the Edexcel A-Level Mathematicsspecification. This topic covers arithmetic and geometric sequences, sigma notation, and binomial expansion.
Master all 21 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 (21)
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Pascal's triangleFactorial notation and nCrBinomial expansion of (a + b)βΏ for positive integer nFinding specific terms in binomial expansionsBinomial coefficient calculationsBinomial estimation and approximationsArithmetic sequences: nth term uβ = a + (n-1)dArithmetic series: Sβ = n/2(2a + (n-1)d)Arithmetic series: Sβ = n/2(a + l)Sum of first n natural numbersGeometric sequences: nth term uβ = arβΏβ»ΒΉGeometric series: Sβ = a(1 - rβΏ)/(1 - r)Sum to infinity: Sβ = a/(1 - r) for |r| < 1Convergence condition |r| < 1Sigma notation (Ξ£)Recurrence relations: uβββ = f(uβ)Increasing, decreasing, and periodic sequencesBinomial expansion of (1 + x)βΏ for rational nBinomial expansion of (a + bx)βΏ for rational nRange of validity for binomial expansionsUsing binomial expansion for approximations
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