GCSE · Sequences

The nth term of a linear sequenceExam-style questions

Why a constant difference makes a sequence "dn + something", how the zeroth term pins down the constant, and how the nth term answers "is 122 in this sequence?" with an equation instead of a hunch.

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15 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

1
The 3rd term of an arithmetic sequence is 13.

The 7th term of the same sequence is 29.

Find an expression, in terms of $n$ , for the $n$ th term of the sequence.
Level 5 · 3 marksTry it
2
The $4$ th term of an arithmetic sequence is $11$ .

The $10$ th term of the same sequence is $29$ .

Find an expression, in terms of $n$ , for the $n$ th term.
Level 5 · 3 marksTry it