Sequences (Edexcel GCSE Maths): Flashcards

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Sequences
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nth term (or general term) of a sequence

Formula to calculate any term by substituting position number nn

Key benefit of using nth term

Find any term directly without listing all previous terms

Arithmetic sequence definition

Sequence where same number is added/subtracted each time

Common difference

Constant value added/subtracted between consecutive terms

First step in finding nth term (Method 1)

Find the common difference

Standard formula for arithmetic sequence nth term

dn+(ad)dn + (a - d)

What dd represents in dn+(ad)dn + (a - d)

Common difference

What aa represents in dn+(ad)dn + (a - d)

First term

Quadratic sequence characteristic

Constant second difference between terms

Quadratic sequence nth term involves

n2n^2

First step to check if value is in sequence

Set nth term formula equal to that value

Requirement for nn when checking if term in sequence

Must be a positive whole number

After solving for nn, what to check

Check if nn is a positive whole number

Best practice when finding nth term formula

Substitute first few values of nn to verify formula

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