4MA1/1H Jun 2025, Question 24: Arithmetic series
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 5 marks
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The question, in short
The first three terms of an arithmetic series are (2x + 5), (3y − 4), (4x − 2), and the sum of the first 9 terms is 216. Find x and y.
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Solution · 5 marks
- 120th term: a + 19d = 123
- 2Sum: 30/2 × (2a + 29d) = 2880, so 2a + 29d = 192
- 3Double the first: 2a + 38d = 246
- 4Subtract: 9d = 54, so d = 6
- 5a = 123 − 19 × 6 = 9
Answera = 9, d = 6
Stuck on a step? Read the free lesson: Sum of an Arithmetic Series
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