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4MA1/1HR Jun 2018, Question 23: Sum of an Arithmetic Series

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 4 marks

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The question, in short

Find the total of all whole numbers from 1 to 1000 that are divisible by 3.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Solution · 4 marks

  1. 1999 ÷ 3 = 333
  2. 2Number of terms = 333
  3. 3First term = 3, Last term = 999
  4. 4Sum = (333 / 2) × (3 + 999)
  5. 5(333 / 2) × 1002 = 166833

Answer166833

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