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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. You can get a better display of the maths by downloading special TeX fonts from jsMath. In the meantime, we will do the best we can with the fonts you have, but it may not be pretty and some equations may not be rendered correctly.

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:

SyllabusModuleSectionTopic
AQA A-Level (UK - Pre-2017)C2Sequences and seriesArithmetic series
AQA A2 Maths 2017Pure MathsSequences and SeriesArithmetic Sequences
AQA AS/A2 Maths 2017Pure MathsSequences and SeriesArithmetic Sequences
CBSE X (India)AlgebraArithmetic ProgressionsFinding nth term
CBSE XI (India)AlgebraSequence and SeriesArithmetic progression
CCEA A-Level (NI)C2Sequences and seriesArithmetic series
CIE A-Level (UK)P1Sequences and seriesArithmetic series
D Sequences and SeriesD4 Arithmetic SequencesArithmetic Sequences
Edexcel A-Level (UK - Pre-2017)C1Sequences and seriesArithmetic series
Edexcel A2 Maths 2017Pure MathsSequences and SeriesArithmetic Sequences
Edexcel AS/A2 Maths 2017Pure MathsSequences and SeriesArithmetic Sequences
I.B. Higher Level1Sequences and seriesArithmetic series
I.B. Standard Level1Sequences and seriesArithmetic series
Methods (UK)M7Sequences and seriesArithmetic series
I.B. (MSSL)2Sequences and seriesArithmetic series
OCR A-Level (UK - Pre-2017)C2Sequences and seriesArithmetic series
OCR A2 Maths 2017Pure MathsArithmetic and Geometric SequencesArithmetic Sequences
OCR MEI A2 Maths 2017Pure MathsArithmetic and Geometric SequencesArithmetic Sequences
OCR-MEI A-Level (UK - Pre-2017)C2Sequences and seriesArithmetic series
Pre-Calculus (US)E3Sequences 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
Universal (all site questions)SSequences and seriesArithmetic series
WJEC A-Level (Wales)C2Sequences and seriesArithmetic series