AQA C2 2014 June — Question 3 3 marks

Exam BoardAQA
ModuleC2 (Core Mathematics 2)
Year2014
SessionJune
Marks3
TopicGeometric Sequences and Series

3 The first term of a geometric series is 54 and the common ratio of the series is \(\frac { 8 } { 9 }\).
  1. Find the sum to infinity of the series.
  2. Find the second term of the series.
  3. Show that the 12th term of the series can be written in the form \(\frac { 2 ^ { p } } { 3 ^ { q } }\), where \(p\) and \(q\) are integers.
    [0pt] [3 marks]