CAIE P1 2022 June — Question 3

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2022
SessionJune
TopicArithmetic Sequences and Series

3 An arithmetic progression has first term 4 and common difference \(d\). The sum of the first \(n\) terms of the progression is 5863.
  1. Show that \(( n - 1 ) d = \frac { 11726 } { n } - 8\).
  2. Given that the \(n\)th term is 139 , find the values of \(n\) and \(d\), giving the value of \(d\) as a fraction.