CAIE P1 2021 June — Question 8

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2021
SessionJune
TopicGeometric Sequences and Series

8 The first, second and third terms of an arithmetic progression are \(a , \frac { 3 } { 2 } a\) and \(b\) respectively, where \(a\) and \(b\) are positive constants. The first, second and third terms of a geometric progression are \(a , 18\) and \(b + 3\) respectively.
  1. Find the values of \(a\) and \(b\).
  2. Find the sum of the first 20 terms of the arithmetic progression.