CAIE P1 2018 June — Question 3

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2018
SessionJune
TopicGeometric Sequences and Series

3 A company producing salt from sea water changed to a new process. The amount of salt obtained each week increased by \(2 \%\) of the amount obtained in the preceding week. It is given that in the first week after the change the company obtained 8000 kg of salt.
  1. Find the amount of salt obtained in the 12th week after the change.
  2. Find the total amount of salt obtained in the first 12 weeks after the change.