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IB Mathematics: Applications and Interpretation HL · 12.1: Sequences & Series · 12.1.9

Infinite series in context: bouncing balls and nested squares Problem set B Answers

Skills

  1. 0.741 m

    1. (a) The series is \(3+6(0.6)+6(0.6)^2+\dots\)
    2. (b) \(S_n=12-9(0.6)^{n-1}\)

  3. 12 s

  4. \(x=\frac{4}{3}\) (1.33)

In context

  1. 98.7 m

  2. 96.5 cm²

  3. 98 cm²

Stretch

  1. n = 7

jmaths.xyz · AI HL · 12.1.9 Infinite series in context: bouncing balls and nested squares