plumiGeometric sequences and series: OCR MEI A‑Level Maths questions
OCR MEI A-Level Maths past-paper questions on 4.6 Geometric sequences and series, 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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All 10 questions on Geometric sequences and series, as a list
- June 2025, Paper 3, Q4 (3 marks): The first term of a geometric sequence is 6. 2 . The fourth term is 9 The sequence is infinite. Find the sum of the associated series. [3]
- June 2024, Paper 1, Q11 (8 marks): The first three terms of a geometric sequence are k 5 - , k 2 3 - , k 6 + , where k is a constant. 2 2 - (a) Show that k satisfies the equation k 11 k 10 0 . [3
- June 2023, Paper 2, Q1 (3 marks): 1 1 Determine the sum of the infinite geometric series 9 3 1 … [3] - + - + + 3 9
- June 2022, Paper 2, Q2 (2 marks): Find the sum of the infinite series 50 + 25 + 12.5 + 6.25 + … . [2]
- November 2021, Paper 1, Q4 (6 marks): (a) The first four terms of a sequence are 2, 3, 0, 3 and the subsequent terms are given by a a . 4 = k k + (i) State what type of sequence this is. [1] 200/ (i
- November 2021, Paper 2, Q15 (11 marks): =/ r 1 15 (a) Show that 0 99 . - 0 01 . 1 . [3] = # r 1 Kofi is a very good table tennis player. Layla is determined to beat him. Every week they play one match
- November 2020, Paper 3, Q3 (3 marks): A particular phone battery will last 10 hours when it is first used. Every time it is recharged, it will only last 98% of its previous time. Find the maximum to
- June 2019, Paper 2, Q13 (7 marks): The population of Melchester is 185 207. During a nationwide flu epidemic the number of new cases in Melchester are recorded each day. The results from the firs
- June 2018, Paper 1, Q6 (6 marks): Aleela and Baraka are saving to buy a car. Aleela saves £50 in the first month. She increases the amount she saves by £20 each month. (i) Calculate how much she
- June 2018, Paper 3, Q13 (3 marks): Consider a geometric sequence in which all the terms are positive real numbers. Show that, for any three [3] consecutive terms of this sequence, the middle one
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