CAIE P1 2023 June — Question 9

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

9 The second term of a geometric progression is 16 and the sum to infinity is 100 .
  1. Find the two possible values of the first term.
  2. Show that the \(n\)th term of one of the two possible geometric progressions is equal to \(4 ^ { n - 2 }\) multiplied by the \(n\)th term of the other geometric progression.