Edexcel C1 — Question 4

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

4. In the first month after opening, a mobile phone shop sold 280 phones. A model for future trading assumes that sales will increase by \(x\) phones per month for the next 35 months, so that \(( 280 + x )\) phones will be sold in the second month, \(( 280 + 2 x )\) in the third month, and so on. Using this model with \(x = 5\), calculate
    1. the number of phones sold in the 36th month,
    2. the total number of phones sold over the 36 months. The shop sets a sales target of 17000 phones to be sold over the 36 months.
      Using the same model,
  1. find the least value of \(x\) required to achieve this target.