Further MathsFurther Pure Mathematics
Taylor and Maclaurin series
Construct and apply series expansions beyond the rational binomial theorem.
31 worksheets32 questions
Practise
Practice moves from direct fluency towards application, reasoning and synthesis.
- Intro
Taylor and Maclaurin expansions
Step 1 · 6 worksheets · 6 questions
- Taylor Expansion Of Ln XTaylor Series · 1 questionPractise in MathLab →
- Leibnitz Theorem CoefficientTaylor Series · 1 questionPractise in MathLab →
- Maclaurin Expansion Of LogarithmSequences And Series · 1 questionPractise in MathLab →
- Maclaurin Series For ArcsineSequences And Series · 1 questionPractise in MathLab →
- Maclaurin Series For Powers Of CoshSequences And Series · 1 questionPractise in MathLab →
- Maclaurin Series For Sine Times Hyperbolic SineSequences And Series · 1 questionPractise in MathLab →
- IntroPractice
Series approximations and applications
Step 2 · 7 worksheets · 8 questions
- Binomial CoefficientsMixed Sequences And Series · 1 questionPractise in MathLab →
- Binomial Expansion And AccuracyMixed Sequences And Series · 1 questionPractise in MathLab →
- Cube Root ApproximationMixed Sequences And Series · 1 questionPractise in MathLab →
- Series Expansion And Solving An EquationMixed Sequences And Series · 1 questionPractise in MathLab →
- Series Solution Of A Differential EquationTaylor Series · 2 questionsPractise in MathLab →
- L Hospital S Rule LimitTaylor Series · 1 questionPractise in MathLab →
- Factorising A PolynomialMixed Sequences And Series · 1 questionPractise in MathLab →
- Practice
Finite sums, differences, and telescoping series
Step 3 · 11 worksheets · 11 questions
- Sum Of Squared Arithmetic TermsSequences And Series · 1 questionPractise in MathLab →
- Sum Of Squares Over A RangeSequences And Series · 1 questionPractise in MathLab →
- Method Of Differences With Rational ExpressionSequences And Series · 1 questionPractise in MathLab →
- Sum Of Cubes Of Odd NumbersSequences And Series · 1 questionPractise in MathLab →
- Summation With Geometric TermSequences And Series · 1 questionPractise in MathLab →
- Summation And Solve For KSequences And Series · 1 questionPractise in MathLab →
- Induction And Summation RangeSequences And Series · 1 questionPractise in MathLab →
- Induction And Equation Involving SumsSequences And Series · 1 questionPractise in MathLab →
- Logarithmic Telescoping SeriesSequences And Series · 1 questionPractise in MathLab →
- Telescoping Rational SeriesSequences And Series · 1 questionPractise in MathLab →
- Telescoping Series ProofSequences And Series · 1 questionPractise in MathLab →
- PracticeChallenge
Recurrence relations and models
Step 4 · 7 worksheets · 7 questions
- Staircase RecurrenceRecurrence Relations · 1 questionPractise in MathLab →
- Solve The Recurrence SystemRecurrence Relations · 1 questionPractise in MathLab →
- Savings Account Recurrence ModelRecurrence Relations · 1 questionPractise in MathLab →
- Deer Population Recurrence ModelRecurrence Relations · 1 questionPractise in MathLab →
- Tree Height Recurrence ModelRecurrence Relations · 1 questionPractise in MathLab →
- Website Visits Recurrence ModelRecurrence Relations · 1 questionPractise in MathLab →
- Induction Proof For Recurrence SystemRecurrence Relations · 1 questionPractise in MathLab →
Ready to practise?
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