Linear Sequences (Junior Cert Mathematics): Flashcards

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Linear Sequences
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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 TnT_n (definition)

Formula to find any term without listing all previous ones

General term formula for linear sequence

Tn=a+(n−1)dT_n = a + (n-1)d

aa in Tn=a+(n−1)dT_n = a + (n-1)d

First term of the sequence

dd in Tn=a+(n−1)dT_n = a + (n-1)d

Common difference

nn in Tn=a+(n−1)dT_n = a + (n-1)d

Term number (position in sequence)

TnT_n in formula Tn=a+(n−1)dT_n = a + (n-1)d

The nnth term in the sequence

Benefits of general term formula

Find any term quickly & work backwards to find position

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