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IB Mathematics: Applications and Interpretation SL · 12.1: Sequences & Series · 12.1.5

Geometric series Problem set B Answers

Skills

    1. (a) 16383
    2. (b) −728
    3. (c) 320 (319.69…)

  2. \(121u_1 = 484\), so \(u_1 = 4\).

  3. 7 (\(S_6 = 7812,\ S_7 = 39\,062\))

In context

  1. \(\dfrac{3(4^5 - 1)}{4 - 1} = 1023\)

  2. €132 318.77 (about €132 000)

  3. 17.2 m

  4. Day 15

Stretch

  1. \(u_1 = 9,\ r = 4,\ u_6 = 9216\)

jmaths.xyz · AI SL · 12.1.5 Geometric Series