AQA GCSE · Mathematics 8300

Sequences: Practice Questions

5 multiple-choice questions marked as you go, and 5 written questions with worked solutions. All on Sequences.

10 questions20 marksFree, no account

Question 1

1 mark

Find the next term in the arithmetic sequence: \( 5, 8, 11, 14, \dots \)

Question 2

1 mark

Find the \(n\)th term expression for the following linear sequence:
\(11, 8, 5, 2, \dots\)

Question 3

1 mark

Generate the first four terms of a sequence given by the position-to-term rule:
Term = \(2n^2 - 3\)

Question 4

1 mark

The first four terms of a quadratic sequence are \(4, 9, 16, 25\). Which of the following is an expression for the \(n\)th term of this sequence?

Question 5

1 mark

A sequence has the position-to-term rule \(3n + 2\). What is the 5th term of this sequence?

Question 6

2 marks

Write down the next term in the geometric progression:
\(3, 6, 12, 24, \dots\)

Write your answer out first, then check it against the worked solution.

Question 7

4 marks

The first two terms of a Fibonacci-type sequence are \(2\) and \(3\), where each subsequent term is found by adding the previous two terms.
Find the 5th term of this sequence.

Write your answer out first, then check it against the worked solution.

Question 8

2 marks

The \(n\)th term of a sequence is given by \(5 - 2n\).
Work out the 6th term of this sequence.

Write your answer out first, then check it against the worked solution.

Question 9

2 marks

Write down the next two terms in the sequence of cube numbers:
\(1, 8, 27, 64, \dots\)

Write your answer out first, then check it against the worked solution.

Question 10

5 marks

Here are the first four terms of a quadratic sequence:
\(2, 7, 14, 23\)

(a) Find the next two terms of the sequence.
(b) Show that the \(n\)th term of the sequence can be written in the form \(n^2 + 2\).
(c) Find the 20th term of this sequence.

Write your answer out first, then check it against the worked solution.

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