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Sigma notation: AQA A‑Level Maths questions

AQA A-Level Maths past-paper questions on D.4 Sigma notation, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.

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426 questions

  1. Q7

    June 2025 · Paper 3

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  2. Q12

    June 2024 · Paper 1

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  3. Q3

    November 2021 · Paper 2

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  4. Q10

    November 2020 · Paper 1

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  5. Q8

    June 2019 · Paper 1

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All 5 questions on Sigma notation, as a list
  1. June 2025, Paper 3, Q7 (3 marks): Solve the equation 3 ∑ r =1 (ar + 5) = 57 to find the value of a [3 marks]
  2. June 2024, Paper 1, Q12 (5 marks): The terms, un, of a periodic sequence are defined by u1 = 3 and un+1 = –6 un 12 (a) Find u2, u3 and u4 [2 marks] 12 (b) State the period of the sequence. [1 mar
  3. November 2021, Paper 2, Q3 (1 mark): A sequence is defined by u1 = a and un+1 = −1 × un Find P 95 n=1 un Circle your answer. [1 mark] −a 0 a 95a for the next question
  4. November 2020, Paper 1, Q10 (11 marks): (a) An arithmetic series is given by X 20 r=5 (4r + 1) 10 (a) (i) Write down the first term of the series. [1 mark] 10 (a) (ii) Write down the common difference
  5. June 2019, Paper 1, Q8 (4 marks): P(n) = X n k=0 k 3 − X n 1 k=0 k 3 where n is a positive integer. 8 (a) Find P(3) and P(10) [2 marks] 8 (b) Solve the equation P(n) = 1:25 × 108 [2 marks]

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