AQA C2 2006 January — Question 3

Exam BoardAQA
ModuleC2 (Core Mathematics 2)
Year2006
SessionJanuary
TopicExponential Equations & Modelling
3
  1. Use logarithms to solve the equation \(0.8 ^ { x } = 0.05\), giving your answer to three decimal places.
  2. An infinite geometric series has common ratio \(r\). The sum to infinity of the series is five times the first term of the series.
    1. Show that \(r = 0.8\).
    2. Given that the first term of the series is 20 , find the least value of \(n\) such that the \(n\)th term of the series is less than 1 .
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