CAIE P1 2014 June — Question 6

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2014
SessionJune
TopicGeometric Sequences and Series

6 The 1st, 2nd and 3rd terms of a geometric progression are the 1st, 9th and 21st terms respectively of an arithmetic progression. The 1st term of each progression is 8 and the common ratio of the geometric progression is \(r\), where \(r \neq 1\). Find
  1. the value of \(r\),
  2. the 4th term of each progression.