plumiGeometric sequences and series: WJEC A‑Level Maths questions
WJEC 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 7 questions on Geometric sequences and series, as a list
- Summer 2025, Unit 3, Q16 (6 marks): 16. A person borrows £50 000 which is to be repaid over 20 years in 20 equal annual amounts. The lender charges an annual compound interest rate of 5% which rem
- Summer 2024, Unit 3, Q7 (7 marks): 7. Showing all your working, evaluate 50 4 r 5 (a) , [4] r 3
- Summer 2023, Unit 3, Q5 (6 marks): 5 A tree is 80 cm in height when it is planted. In the first year, the tree grows in height by 32 cm. In each subsequent year, the tree grows in height by 90% o
- Summer 2022, Unit 3, Q4 (6 marks): 4 The sum to infinity of a geometric series with first term a and common ratio r is 120. The sum to infinity of another geometric series with first term a and c
- Summer 2019, Unit 3, Q8 (11 marks): 8 a) The 3rd, 19th and 67th terms of an arithmetic sequence form a geometric sequence. Given that the arithmetic sequence is increasing and that the first term
- Summer 2019, Unit 4, Q2 (10 marks): 2 Four children are playing a game in order to win a calculator. They take turns, starting with Alex, followed by Ben, then Caroline, then Danielle, rolling a f
- Summer 2018, Unit 3, Q9 (10 marks): 9 a) Explain why the sum to infinity of a geometric series with common ratio r only converges when | r | < 1. [1] b) A geometric progression V has first term 2
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