GCSE · Sequences

Geometric, Fibonacci and other special sequencesExam-style questions

Why geometric sequences multiply where arithmetic ones add, how Fibonacci-type rules turn into algebra, the named sequences worth recognising on sight, and subscript notation for term-to-term rules.

Start practising Read the lesson

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 is a sequence: $\quad 2, \; 4, \; 8, \; 16, \; \ldots$ Write down the next two terms.
Level 1 · 1 markTry it
2
Here are the first four terms of a sequence:

$5 \qquad 10 \qquad 20 \qquad 40$

(a) Write down the term-to-term rule.

(b) Write down the next two terms.
Level 2 · 2 marksTry it
3
Here are the first four terms of a geometric sequence.

$3 \qquad 6 \qquad 12 \qquad 24$

(a) Find an expression, in terms of $n$ , for the $n$ th term. [2]

(b) Work out the $10$ th term. [1]
Level 2 · 3 marksTry it
4
Here are the first four terms of a sequence:

$3 \qquad 6 \qquad 12 \qquad 24$

(a) Write down the term-to-term rule of the sequence.

(b) Write down the next two terms of the sequence.
Level 3 · 2 marksTry it
5
Here are the first five terms of a sequence:

$2 \qquad 3 \qquad 5 \qquad 8 \qquad 13$

(a) Describe the rule of the sequence.

(b) Write down the next two terms.
Level 3 · 2 marksTry it

10 more questions on geometric, fibonacci and other special sequences

Free with an account — just an email, no card. The whole bank, every mark scheme and worked solution.

Start free