Sequences: past paper questions

Where the questions come from

• Question 11May/June 2026, paper 21Structured6 marks

  $A$, $B$ and $C$ are linear sequences. The table gives some information about these sequences.

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• Question 16Oct/Nov 2025, paper 23Structured5 marks

  The table shows three sequences. Complete the table to show the $n\text{th}$ term of each sequence.

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• Question 13Oct/Nov 2024, paper 21Structured5 marks

  A sequence has $n\text{th}$ term $3n^2-1$. Find the second term in this sequence.

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• Question 19Oct/Nov 2023, paper 22Structured4 marks

  Find the $n$th term of each sequence.

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• Question 14May/June 2026, paper 22Structured4 marks

  The $n$th term of a sequence is given by $n^2-3$. Write down the first three terms of this sequence.

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• Question 20Oct/Nov 2025, paper 41Structured3 marks

  These are the first five terms of a sequence. $$48241263$$ Find the next term.

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• Question 1Oct/Nov 2024, paper 22Structured2 marks

  These are the first eight terms of a sequence. $$c-3-9-15-21-27-33k$$ Find the value of $c$ and the value of $k$.

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• Question 6Oct/Nov 2023, paper 41Structured11 marks

  Complete the table for the three sequences.

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• Question 20Oct/Nov 2024, paper 22Structured2 marks

  Find an expression for the $n\text{th}$ term of this sequence.

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• Question 8May/June 2023, paper 21Structured4 marks

  The $n$th term of a sequence is $10-n^2$. Write down the first three terms of this sequence.

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• Question 22May/June 2023, paper 23Structured5 marks

  These are the first four terms of a sequence. $$\begin{array}{cccc}2.75& 6& 11.25& 20\end{array}$$ The $n$th term of this sequence is $\frac{1}{4}{n}^3+a{n}^2+bn$. Calculate the value of $a$ and the value of $b$.

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• Question 7May/June 2025, paper 22Structured3 marks

  These are the first 4 terms of a sequence. $$11852$$ Find the next term of this sequence.

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• Question 3May/June 2024, paper 21Structured4 marks

  The table shows some information about two sequences. $$\overline{)\begin{array}{ccc}& n\text{th term}& 5\text{th term}\\ \text{Sequence }A& 60-4n& \\ \text{Sequence }B& n^2-300& \end{array}}$$ Complete the table.

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• Question 6May/June 2023, paper 42Structured8 marks

  A sequence has $n\text{th}$ term $\frac{n}{2n+3}$. Find the first three terms of this sequence.

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• Question 5May/June 2025, paper 41Structured6 marks

  These are the first 5 terms of a sequence. 1 8 27 64 125 Find the 10th term of this sequence.

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• Question 11May/June 2025, paper 43Structured8 marks

  The table shows three sequences. Complete the table.

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• Question 5May/June 2024, paper 42Structured18 marks

  Simplify $(25x^6{)}^{\frac{3}{2}}$.

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• Question 2May/June 2024, paper 43Structured12 marks

  The $n$th term of a sequence is $120-n^3$. Find the 4th term of this sequence.

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