plumiArithmetic sequences and series: OCR MEI A‑Level Maths questions
OCR MEI A-Level Maths past-paper questions on 4.5 Arithmetic 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 6 questions on Arithmetic sequences and series, as a list
- June 2025, Paper 2, Q5 (3 marks): Prove that the sum of the first n positive odd numbers is a square number. [3]
- June 2024, Paper 2, Q7 (6 marks): A sequence is defined by the recurrence relation u u 5 with u – 2 . = + = k 1 k 1 + (a) Write down the values of u2, u3, and u4. [1] (b) Explain whether this se
- June 2023, Paper 1, Q14 (6 marks): (a) Use the laws of logarithms to show that log 200 log 20 is equal to 1. [2] - 10 10 The first three terms of a sequence are log 20 , log 200 , log 2000 . 10 1
- November 2020, Paper 2, Q5 (3 marks): The first n terms of an arithmetic series are 17 + 28 + 39 + … + 281 + 292. (a) Find the value of n. [1] (b) Find the sum of these n terms. [2]
- June 2019, Paper 1, Q8 (7 marks): An arithmetic series has first term 9300 and 10th term 3900. (a) Show that the 20th term of the series is negative. [3] (b) The sum of the first n terms is deno
- 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
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