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

Geometric series Problem set A Answers

Skills

    1. (a) 6560
    2. (b) −1705
    3. (c) 200 (199.95…)

  2. \(63u_1 = 315\), so \(u_1 = 5\).

  3. 8 (\(S_7 = 4372,\ S_8 = 13\,120\))

In context

  1. \(\dfrac{4(3^6 - 1)}{3 - 1} = 1456\)

  2. $320 988.62 (about $321 000)

  3. 18.8 m

  4. Day 12

Stretch

  1. \(u_1 = 5,\ r = 2,\ u_6 = 160\)

jmaths.xyz · AI HL · 12.1.5 Geometric Series