Edexcel C2 2015 June — Question 5

Exam BoardEdexcel
ModuleC2 (Core Mathematics 2)
Year2015
SessionJune
TopicGeometric Sequences and Series

    1. All the terms of a geometric series are positive. The sum of the first two terms is 34 and the sum to infinity is 162
Find
  1. the common ratio,
  2. the first term.
    (ii) A different geometric series has a first term of 42 and a common ratio of \(\frac { 6 } { 7 }\). Find the smallest value of \(n\) for which the sum of the first \(n\) terms of the series exceeds 290