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Perplex
Perplex
Dashboard
Topics
Exponents & LogarithmsApproximations & ErrorSequences & SeriesMatricesComplex NumbersFinancial Mathematics
Cartesian plane & linesFunction TheoryModellingTransformations & asymptotes
2D & 3D GeometryVoronoi DiagramsTrig equations & identitiesVectorsGraph Theory
ProbabilityDescriptive StatisticsBivariate StatisticsDistributions & Random VariablesInference & Hypotheses
DifferentiationIntegrationDifferential Equations
Review VideosFormula BookletMy Progress
BlogLanding Page
Sign UpLogin
Perplex
/
Sequences & Series
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Arithmetic Sequences
Geometric Sequences
Arithmetic Sequences
Sequences & Series

Arithmetic Sequences

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Introduction to the definition, properties, and general term of an arithmetic sequence

Want a deeper conceptual understanding? Try our interactive lesson!

Identifying arithmetic sequences
SL Core 1.2

A sequence is arithmetic if the difference between consecutive terms is constant, ie ​un+1​−un​=d, the common difference, for all ​n. For example,

​
1,6,11,16…
​

is arithmetic, but

​
2,5,9,11
​

is not since ​9−5=4=5−2=3.

General term
SL Core 1.2

The ​nth​ term in an arithmetic sequence is given by

​
un​=u1​+(n−1)d📖
​

where ​u1​​ is the first term and ​d​ is the common difference.

Nice work completing Arithmetic Sequences, here's a quick recap of what we covered:

Skills covered

Mixed Practice

Exercises checked off

I'm Plex, here to help you understand this concept!
/
Sequences & Series
/
Arithmetic Sequences
Geometric Sequences
Arithmetic Sequences
Sequences & Series

Arithmetic Sequences

0 of 0 exercises completed

Introduction to the definition, properties, and general term of an arithmetic sequence

Want a deeper conceptual understanding? Try our interactive lesson!

Identifying arithmetic sequences
SL Core 1.2

A sequence is arithmetic if the difference between consecutive terms is constant, ie ​un+1​−un​=d, the common difference, for all ​n. For example,

​
1,6,11,16…
​

is arithmetic, but

​
2,5,9,11
​

is not since ​9−5=4=5−2=3.

General term
SL Core 1.2

The ​nth​ term in an arithmetic sequence is given by

​
un​=u1​+(n−1)d📖
​

where ​u1​​ is the first term and ​d​ is the common difference.

Nice work completing Arithmetic Sequences, here's a quick recap of what we covered:

Skills covered

Mixed Practice

Exercises checked off

I'm Plex, here to help you understand this concept!

Generating starter questions...

Generating starter questions...