plumiArithmetic sequences and series: Edexcel A‑Level Maths questions
Edexcel A-Level Maths past-paper questions on 4.5 Arithmetic 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 9 questions on Arithmetic sequences and series, as a list
- June 2025, Pure 1, Q3 (5 marks): The first three terms of an arithmetic sequence are 6k, 10 and 2k where k is a constant. (a) Find the value of k. (2) (b) Hence find the value of the sum of the
- June 2025, Statistics, Q6 (11 marks): The discrete random variable R takes even integer values from 2 to 2n inclusive. The probability distribution of R is given by P 2, 4, 6, … , 2 r R r r n k wher
- June 2024, Pure 2, Q2 (5 marks): Jamie takes out an interest‑free loan of £8100 Jamie makes a payment every month to pay back the loan. Jamie repays £400 in month 1, £390 in month 2, £380 in mo
- June 2023, Pure 2, Q8 (6 marks): (a) Express 2 cos θ + 8 sin θ in the form R cos(θ – α) , where R and α are constants, R > 0 and 0 < α < 2 π Give the exact value of R and give the value of α in
- June 2022, Pure 1, Q13 (7 marks): (i) In an arithmetic series, the first term is a and the common difference is d. Show that Sn = n 2 [2a + (n − 1)d] (3) (ii) James saves money over a number of
- November 2021, Pure 2, Q1 (4 marks): In an arithmetic series • the first term is 16 • the 21st term is 24 (a) Find the common difference of the series. (2) (b) Hence find the sum of the first 500 t
- 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, Statistics, Q4 (10 marks): The discrete random variable D has the following probability distribution d 10 20 30 40 50 P (D = d ) k 10 k 20 k 30 k 40 k 50 where k is a constant. (a) Show t
- June 2018, Statistics and Mechanics, Q3 (11 marks): In an experiment a group of children each repeatedly throw a dart at a target. For each child, the random variable H represents the number of times the dart hit
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