A-levelSequences and series
Geometric sequences and series
Common ratios and finite, infinite, and convergent geometric sums.
1 lesson54 worksheets109 questions
Lessons
These free MathLab Learn guides are arranged in the order they are most useful for this stage.
Practise
Practice moves from direct fluency towards application, reasoning and synthesis.
- Intro
Terms, nth terms, and common ratios
Step 1 · 14 worksheets · 32 questions
- Find The TermsSequences And Series · 6 questionsPractise in MathLab →
- Expression For Nth TermSequences And Series · 6 questionsPractise in MathLab →
- Common Ratio And Eighth TermArithmetic And Geometric Series · 3 questionsPractise in MathLab →
- Common Ratio And First TermArithmetic And Geometric Series · 1 questionPractise in MathLab →
- Geometric Progression Terms And SumArithmetic And Geometric Series · 1 questionPractise in MathLab →
- Recurrence Relation Geometric SequenceArithmetic And Geometric Series · 1 questionPractise in MathLab →
- Nth TermArithmetic And Geometric Series · 6 questionsPractise in MathLab →
- Defined Geometric SequenceArithmetic And Geometric Series · 1 questionPractise in MathLab →
- Geometric Series TermsArithmetic And Geometric Series · 1 questionPractise in MathLab →
- Geometric Series TermsMixed Sequences And Series · 1 questionPractise in MathLab →
- First Term In Surd FormArithmetic And Geometric Series · 2 questionsPractise in MathLab →
- Positive Common RatioArithmetic And Geometric Series · 1 questionPractise in MathLab →
- Smallest Term IndexArithmetic And Geometric Series · 1 questionPractise in MathLab →
- Possible Common RatiosArithmetic And Geometric Series · 1 questionPractise in MathLab →
- Practice
Finite geometric series
Step 2 · 22 worksheets · 40 questions
- Evaluate Geometric SumMixed Sequences And Series · 1 questionPractise in MathLab →
- Find The SumSequences And Series · 9 questionsPractise in MathLab →
- Geometric SeriesSequences And Series · 1 questionPractise in MathLab →
- Geometric Series Sum From A R And NArithmetic And Geometric Series · 6 questionsPractise in MathLab →
- Geometric Series From First And Fourth TermsArithmetic And Geometric Series · 2 questionsPractise in MathLab →
- Geometric Sequence SumSequences And Series · 1 questionPractise in MathLab →
- Geometric SeriesMixed Sequences And Series · 3 questionsPractise in MathLab →
- Sum Of First 12 TermsArithmetic And Geometric Series · 3 questionsPractise in MathLab →
- Geometric Series Sum FormulaMixed Sequences And Series · 1 questionPractise in MathLab →
- Sum Formula To Nth TermArithmetic And Geometric Series · 1 questionPractise in MathLab →
- Geometric Series From Second And Fifth TermsArithmetic And Geometric Series · 1 questionPractise in MathLab →
- Geometric Series From Second And Third TermsArithmetic And Geometric Series · 1 questionPractise in MathLab →
- Geometric Series From Third And Fourth TermsArithmetic And Geometric Series · 1 questionPractise in MathLab →
- Geometric Series From Sum FormulaArithmetic And Geometric Series · 1 questionPractise in MathLab →
- Geometric Series Ratio And SumSequences And Series · 1 questionPractise in MathLab →
- Geometric Series Terms And SumsArithmetic And Geometric Series · 1 questionPractise in MathLab →
- Geometric Series With Terms In KArithmetic And Geometric Series · 1 questionPractise in MathLab →
- Powers Of Two SeriesArithmetic And Geometric Series · 1 questionPractise in MathLab →
- Sums Of Alternating TermsArithmetic And Geometric Series · 1 questionPractise in MathLab →
- Geometric Series With Known Four Term SumArithmetic And Geometric Series · 1 questionPractise in MathLab →
- Sum Of A Geometric SeriesArithmetic And Geometric Series · 1 questionPractise in MathLab →
- Geometric Series With ParameterArithmetic And Geometric Series · 1 questionPractise in MathLab →
- PracticeChallenge
Infinite series, convergence, and remainders
Step 3 · 12 worksheets · 29 questions
- Summing To InfinitySequences And Series · 10 questionsPractise in MathLab →
- Sum To Infinity From Nth TermArithmetic And Geometric Series · 4 questionsPractise in MathLab →
- Sum To Infinity Or DivergenceArithmetic And Geometric Series · 6 questionsPractise in MathLab →
- Geometric Series To InfinityMixed Sequences And Series · 1 questionPractise in MathLab →
- Geometric Series With Known Sum To InfinityArithmetic And Geometric Series · 1 questionPractise in MathLab →
- Convergent Geometric SeriesArithmetic And Geometric Series · 1 questionPractise in MathLab →
- Geometric Series Sum To Infinity And RemainderArithmetic And Geometric Series · 1 questionPractise in MathLab →
- Geometric Progression RemainderArithmetic And Geometric Series · 1 questionPractise in MathLab →
- Geometric Series With Possible RatiosArithmetic And Geometric Series · 1 questionPractise in MathLab →
- Geometric Series With SurdsMixed Sequences And Series · 1 questionPractise in MathLab →
- Positive Geometric SeriesArithmetic And Geometric Series · 1 questionPractise in MathLab →
- Sum To InfinityArithmetic And Geometric Series · 1 questionPractise in MathLab →
- Challenge
Modelling, mixed progressions, and proof
Step 4 · 6 worksheets · 8 questions
- Spiral Line LengthsArithmetic And Geometric Series · 1 questionPractise in MathLab →
- Arithmetic And Geometric Consecutive TermsArithmetic And Geometric Series · 1 questionPractise in MathLab →
- Arithmetic And Geometric ProgressionsArithmetic And Geometric Series · 3 questionsPractise in MathLab →
- Arithmetic And Geometric SequencesArithmetic And Geometric Series · 1 questionPractise in MathLab →
- Arithmetic And Geometric SeriesMixed Sequences And Series · 1 questionPractise in MathLab →
- Geometric And Arithmetic Progressions ProofArithmetic And Geometric Series · 1 questionPractise in MathLab →
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