Infinite Series & Cubic Sequences (Leaving Cert Mathematics): Flashcards

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Cubic Sequences
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Definition of cubic sequence

Third difference of consecutive terms is constant

General term formula for cubic sequence

Tn=an3+bn2+cn+dT_n = an^3 + bn^2 + cn + d

Third difference equals (in terms of aa)

6a6a

First difference of cubic sequence forms

Quadratic sequence

Second difference of cubic sequence forms

Linear (arithmetic) sequence

First step to find general term of cubic sequence

Identify third common difference

How to find coefficient aa in cubic sequence

Use 6a=6a = third difference

Equations needed to solve for bb, cc, dd

Three equations

How to create equations for bb, cc, dd

Substitute known terms into general formula

Explore Leaving Cert Mathematics Revision Notes by Topics

Patterns and Sequences

Arithmetic Sequences & Series

Geometric Sequences & Series

Limits of a Sequence

Infinite Series & Cubic Sequences

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Patterns and Sequences

Arithmetic Sequences & Series

Geometric Sequences & Series

Limits of a Sequence

Infinite Series & Cubic Sequences

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Patterns and Sequences

Arithmetic Sequences & Series

Geometric Sequences & Series

Limits of a Sequence

Infinite Series & Cubic Sequences

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Patterns and Sequences

Arithmetic Sequences & Series

Geometric Sequences & Series

Limits of a Sequence

Infinite Series & Cubic Sequences

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