Last updated on Sep 21, 2026

Arithmetic Sequence/Series (Junior Cert Mathematics): Flashcards

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Linear Sequences

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12 cards from this deck

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Pattern (definition)

Numbers/shapes/objects following a specific rule

Sequence (definition)

List of numbers following a certain rule

Terms (in a sequence)

The numbers in a sequence

Common difference (definition)

Constant difference between consecutive terms in sequence

Linear sequence (definition)

Sequence where difference between terms is always the same

General term $T_n$ (definition)

Formula to find any term without listing all previous ones

General term formula for linear sequence

$T_n = a + (n-1)d$

$a$ in $T_n = a + (n-1)d$

First term of the sequence

$d$ in $T_n = a + (n-1)d$

Common difference

$n$ in $T_n = a + (n-1)d$

Term number (position in sequence)

$T_n$ in formula $T_n = a + (n-1)d$

The $n$ th term in the sequence

Benefits of general term formula

Find any term quickly & work backwards to find position

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