CAIE P1 2015 June — Question 9

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2015
SessionJune
TopicGeometric Sequences and Series

9
  1. The first term of an arithmetic progression is - 2222 and the common difference is 17 . Find the value of the first positive term.
  2. The first term of a geometric progression is \(\sqrt { } 3\) and the second term is \(2 \cos \theta\), where \(0 < \theta < \pi\). Find the set of values of \(\theta\) for which the progression is convergent.