CAIE P1 2017 June — Question 2

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2017
SessionJune
TopicGeometric Sequences and Series
2 The common ratio of a geometric progression is \(r\). The first term of the progression is \(\left( r ^ { 2 } - 3 r + 2 \right)\) and the sum to infinity is \(S\).
  1. Show that \(S = 2 - r\).
  2. Find the set of possible values that \(S\) can take.
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