4PM1/01R Jun 2022, Question 1: Arithmetic Progressions in Problems
Pearson Edexcel International GCSE Further Pure Mathematics 4PM1 · Paper 1R · Calculator · 5 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Given an arithmetic sequence with a fifth term of 16 and a hundredth term of 301, work out the total of its first 50 terms.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 5 marks
- 1a + 4d = 16 and a + 99d = 301
- 2Subtract: 95d = 285 ⇒ d = 3, a = 4
- 3S₅₀ = (50/2)(2 × 4 + 49 × 3)
- 4= 25 × 155 = 3875
Answer3875
Stuck on a step? Read the free lesson: Arithmetic Progressions in Problems
Practise more arithmetic progressions in problems questions
Real 4PM1 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on arithmetic progressions in problems
Also searched as: 4PM1 1R June 2022 · 4PM1/01R · 4pm1 jun22 1r · question 1.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.