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IB Mathematics: Applications and Interpretation HL · 12.1: Sequences & Series · 12.1.7

Infinite geometric series: the sum to infinity Problem set B Answers

Skills

    1. (a) \(S_\infty=\frac{15}{32}\) (= 0.469)
    2. (b) \(S_\infty=250\)
    3. (c) \(S_\infty=\frac{36}{5}\) (= 7.2)

  2. No: \(r=1.1\), and \(|r|>1\).

  3. \(\frac{6}{11}\)

    1. (a) \(\frac{5}{9}\)
    2. (b) \(\frac{8}{37}\)

  5. \(r=0.276\) or \(r=0.724\)

In context

  1. 3200 euros

  2. 48 m

Stretch

  1. \(r=-\frac{1}{3}\), \(u_1=24\)

  2. \(\frac{47}{110}\)

jmaths.xyz · AI HL · 12.1.7 Infinite geometric series: the sum to infinity