4MA1/1H Jun 2019, Question 16: Sum of an Arithmetic Series
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 2 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
For the arithmetic sequence 7, 10, 13, 16, 19, work out the total of its first 100 terms.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 2 marks
- 1a = 7 and d = 3
- 2100th term = 7 + (100 − 1) × 3 = 7 + 99 × 3 = 7 + 297 = 304
- 3Sum = 100 × (7 + 304) ÷ 2 = 100 × 311 ÷ 2 = 31100 ÷ 2 = 15550
Answer15 550
Stuck on a step? Read the free lesson: Sum of an Arithmetic Series
Practise more sum of an arithmetic series questions
Real 4MA1 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 sum of an arithmetic series
Also searched as: 4MA1 1H June 2019 · 4MA1/1H · 4ma1 jun19 1h · question 16.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.