plumiGeometric sequences and series: Edexcel A‑Level Maths questions
Edexcel A-Level Maths past-paper questions on 4.6 Geometric sequences and series, 2010–2025, 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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All 10 questions on Geometric sequences and series, as a list
- June 2024, Pure 1, Q9 (6 marks): The first 3 terms of a geometric sequence are 3 9 3 4 5 7 2 2 1 k k k where k is a constant. (a) Using algebra and making your reasoning clear, prove that k = 5
- June 2023, Pure 1, Q9 (7 marks): The first three terms of a geometric sequence are 3k + 4 12 – 3k k + 16 where k is a constant. (a) Show that k satisfies the equation 3k 2 – 62k + 40 = 0 (2) Gi
- June 2022, Pure 2, Q15 (10 marks): In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable. Given that the first three terms of a
- November 2021, Pure 1, Q5 (6 marks): In this question you should show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. A company made a profit of
- November 2021, Pure 2, Q9 (3 marks): Show that ∑ ∞ 3 4 180 9 28 ( ) = n n cos (3) n = 2
- November 2020, Pure 1, Q5 (6 marks): A car has six forward gears. The fastest speed of the car ● in 1st gear is 28 km h–1 ● in 6th gear is 115 km h–1 Given that the fastest speed of the car in succ
- November 2020, Pure 2, Q15 (8 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. A geometric series has common
- June 2019, Pure 1, Q11 (7 marks): A competitor is running a 20 kilometre race. She runs each of the first 4 kilometres at a steady pace of 6 minutes per kilometre. After the first 4 kilometres,
- June 2019, Pure 2, Q8 (6 marks): (i) Find the value of 20 1 2 4 × ⎛ ⎝⎜ ⎞ ⎠⎟ = ∞ ∑ r r (3) (ii) Show that log5 1 48 2 1 2 n n n + + ⎛ ⎝⎜ ⎞ ⎠⎟= =∑ (3)
- June 2018, Pure 2, Q4 (7 marks): (i) Show that 3 5 2 131798 1 16 + + ( ) = =∑ r r r (4) (ii) A sequence u1, u2, u3, … is defined by u u u n n + = = 1 1 1 2 3 , Find the exact value of ur r=∑ 1
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