Edexcel C2 2006 January — Question 4

Exam BoardEdexcel
ModuleC2 (Core Mathematics 2)
Year2006
SessionJanuary
TopicGeometric Sequences and Series

  1. The first term of a geometric series is 120 . The sum to infinity of the series is 480 .
    1. Show that the common ratio, \(r\), is \(\frac { 3 } { 4 }\).
    2. Find, to 2 decimal places, the difference between the 5th and 6th term.
    3. Calculate the sum of the first 7 terms.
    The sum of the first \(n\) terms of the series is greater than 300 .
  2. Calculate the smallest possible value of \(n\).