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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 A Answers

Skills

    1. (a) \(S_\infty=1\)
    2. (b) \(S_\infty=54\)
    3. (c) \(S_\infty=\frac{20}{3}\) (= 6.67)

  2. No: \(r=1.25\), and \(|r|>1\).

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

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

  5. \(r=0.4\) or \(r=0.6\)

In context

  1. 2500 euros

  2. 400 cm

Stretch

  1. \(r=-\frac{1}{2}\), \(u_1=12\)

  2. \(\frac{7}{22}\)

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