Nth-term formula

Definition

A formula giving the value of a term from its position number $n$ .

Used by OCR

Specification 6.06a · Paper 1 (Foundation), Paper 2 (Foundation), Paper 3 (Foundation), Paper 4 (Higher), Paper 5 (Higher), Paper 6 (Higher)

Revise: Generating Sequences and Linear Rules
A formula using $n$ to give the term in position $n$ of a sequence.
Revise: Arithmetic Sequence Formulae and Subscript Notation

1
In an nth-term formula, the first term is found by substituting $n=1$ , not $n=0$ .
2

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Nth-term formula — OCR GCSE Mathematics Definition | GradeGen

A rule that gives a term directly from its position number $n$ .

The common difference is the coefficient of $n$ , but it is not usually the whole nth-term formula. Find the constant adjustment as well.