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.

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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 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
2
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