Sequences (AQA GCSE Further Maths): Flashcards

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Sequences
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What is a sequence?

List of numbers following a pattern or rule

What is a term?

Each number in the sequence

nn in sequences

Position of term (1st term: n=1n=1, 2nd: n=2n=2, etc.)

What is the nth term?

Formula for finding any term in the sequence

Linear sequence

Sequence with constant difference between terms

Linear nth term form

an+ban + b

aa in an+ban + b

Common difference between consecutive terms

Decreasing sequence: common difference is?

Negative

Quadratic sequence

Sequence where nth term contains n2n^2

Quadratic nth term form

an2+bn+can^2 + bn + c

Key property of quadratic sequences

Constant second differences

Coefficient of n2n^2 formula

Half of constant second difference

Second difference equals what?

Twice the coefficient of n2n^2

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