Edexcel C2 2009 January — Question 9

Exam BoardEdexcel
ModuleC2 (Core Mathematics 2)
Year2009
SessionJanuary
TopicGeometric Sequences and Series
  1. The first three terms of a geometric series are ( \(k + 4\) ), \(k\) and ( \(2 k - 15\) ) respectively, where \(k\) is a positive constant.
    1. Show that \(k ^ { 2 } - 7 k - 60 = 0\).
    2. Hence show that \(k = 12\).
    3. Find the common ratio of this series.
    4. Find the sum to infinity of this series.
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