AQA C2 2009 June — Question 7

Exam BoardAQA
ModuleC2 (Core Mathematics 2)
Year2009
SessionJune
TopicGeometric Sequences and Series

7 A geometric series has second term 375 and fifth term 81.
    1. Show that the common ratio of the series is 0.6 .
    2. Find the first term of the series.
  1. Find the sum to infinity of the series.
  2. The \(n\)th term of the series is \(u _ { n }\). Find the value of \(\sum _ { n = 6 } ^ { \infty } u _ { n }\).
    □ .......... \(\_\_\_\_\)