Linear Sequences (Junior Cert Mathematics): Flashcards

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Linear Sequences
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Definition of a pattern

Set of numbers/shapes/objects following a specific rule

Definition of a sequence

List of numbers following a certain rule

What are the terms of a sequence?

The numbers in a sequence

Common difference

Constant difference between consecutive terms

Linear sequence

Sequence where difference between terms is always the same

General term of a sequence

Formula to find any term without listing all before it

Notation for general term

TnT_n

Formula for TnT_n in 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)

Find which term equals a value

Set TnT_n equal to value and solve for nn

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