CAIE P1 2014 June — Question 5

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2014
SessionJune
TopicArithmetic Sequences and Series
5 An arithmetic progression has first term \(a\) and common difference \(d\). It is given that the sum of the first 200 terms is 4 times the sum of the first 100 terms.
  1. Find \(d\) in terms of \(a\).
  2. Find the 100th term in terms of \(a\).
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