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
Here are the first four terms of an arithmetic sequence:

$7 \qquad 11 \qquad 15 \qquad 19$

(a) Find an expression, in terms of $n$ , for the $n$ th term of the sequence.

(b) Work out the 25th term of the sequence.
Level 3 · 3 marksTry it
2
Here are the first four terms of a sequence:

$30 \qquad 26 \qquad 22 \qquad 18$

Find an expression, in terms of $n$ , for the $n$ th term of the sequence.
Level 3 · 2 marksTry it
3
Here are the first four terms of a sequence:

$50 \qquad 43 \qquad 36 \qquad 29$

(a) Find an expression, in terms of $n$ , for the $n$ th term.

(b) Work out the $10$ th term.
Level 3 · 3 marksTry it