CAIE P1 2023 November — Question 5

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2023
SessionNovember
TopicGeometric Sequences and Series

5 The first, second and third terms of a geometric progression are \(2 p + 6,5 p\) and \(8 p + 2\) respectively.
  1. Find the possible values of the constant \(p\).
  2. One of the values of \(p\) found in (a) is a negative fraction. Use this value of \(p\) to find the sum to infinity of this progression.