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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 A Answers

Skills

  1. 0.252 m

    1. (a) The series is \(1.5+3(0.8)+3(0.8)^2+\dots\)
    2. (b) \(S_n=13.5-12(0.8)^{n-1}\)

  3. 13.5 s

  4. \(x=\frac{20}{9}\) (2.22)

In context

  1. 113 m

  2. 98.4 cm²

  3. 100 cm²

Stretch

  1. n = 11

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