CAIE P1 2008 June — Question 7

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2008
SessionJune
TopicGeometric Sequences and Series

7 The first term of a geometric progression is 81 and the fourth term is 24 . Find
  1. the common ratio of the progression,
  2. the sum to infinity of the progression. The second and third terms of this geometric progression are the first and fourth terms respectively of an arithmetic progression.
  3. Find the sum of the first ten terms of the arithmetic progression.