Edexcel C1 2017 June — Question 4

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Year2017
SessionJune
TopicArithmetic Sequences and Series

4. A company, which is making 140 bicycles each week, plans to increase its production. The number of bicycles produced is to be increased by \(d\) each week, starting from 140 in week 1 , to \(140 + d\) in week 2 , to \(140 + 2 d\) in week 3 and so on, until the company is producing 206 in week 12.
  1. Find the value of \(d\). After week 12 the company plans to continue making 206 bicycles each week.
  2. Find the total number of bicycles that would be made in the first 52 weeks starting from and including week 1.