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In order to work with sequences and series, there are formulae that you should memorise. Do you know them? When you think you know, move the mouse over the question mark to check.

Here are some examples of arithmetic series:
0, 2, 4, 6, 8, 10, 12, ...
13, 10, 7, 4, 1, -2, -5, ...
0.7, 1.4, 2.1, 2.8, 3.5, 4.2, ...
In general an arithmetic series has first term a and common difference d.
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Glossary

series

the sum of terms in a sequence

union

The union of two sets A and B is the set containing all the elements of A and B.

work

Equal to F x s, where F is the force in Newtons and s is the distance travelled and is measured in Joules.

Full Glossary List

This question appears in the following syllabi:

SyllabusModuleSectionTopicExam Year
AQA A-Level (UK - Pre-2017)C2Sequences and seriesArithmetic series-
CCEA A-Level (NI)C2Sequences and seriesArithmetic series-
Edexcel A-Level (UK - Pre-2017)C1Sequences and seriesArithmetic series-
I.B. Higher Level1Sequences and seriesArithmetic series-
I.B. (MSSL)2Sequences and seriesArithmetic series-
I.B. Standard Level1Sequences and seriesArithmetic series-
OCR A-Level (UK - Pre-2017)C2Sequences and seriesArithmetic series-
OCR-MEI A-Level (UK - Pre-2017)C2Sequences and seriesArithmetic series-
WJEC A-Level (Wales)C2Sequences and seriesArithmetic series-
CIE A-Level (UK)P1Sequences and seriesArithmetic series-
Methods (UK)M7Sequences and seriesArithmetic series-
Pre-U A-Level (UK)3Sequences and seriesArithmetic series-
Scottish Advanced HighersM2Sequences and seriesArithmetic series-
Scottish (Highers + Advanced)AM2Sequences and seriesArithmetic series-
Pre-Calculus (US)E3Sequences and seriesArithmetic series-
Universal (all site questions)SSequences and seriesArithmetic series-
Universal (all site questions)SSequences and seriesArithmetic series-
CBSE X (India)AlgebraArithmetic ProgressionsFinding nth term-
CBSE XI (India)AlgebraSequence and SeriesArithmetic progression-
Edexcel AS/A2 Maths 2017Pure MathsSequences and SeriesArithmetic Sequences-
Edexcel A2 Maths 2017Pure MathsSequences and SeriesArithmetic Sequences-
AQA A2 Maths 2017Pure MathsSequences and SeriesArithmetic Sequences-
OCR A2 Maths 2017Pure MathsArithmetic and Geometric SequencesArithmetic Sequences-
OCR MEI A2 Maths 2017Pure MathsArithmetic and Geometric SequencesArithmetic Sequences-
AQA AS/A2 Maths 2017Pure MathsSequences and SeriesArithmetic Sequences-