CAIE P1 2007 June — Question 7

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2007
SessionJune
TopicGeometric Sequences and Series

7 The second term of a geometric progression is 3 and the sum to infinity is 12 .
  1. Find the first term of the progression. An arithmetic progression has the same first and second terms as the geometric progression.
  2. Find the sum of the first 20 terms of the arithmetic progression.