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IB Mathematics: Applications and Interpretation HL · 12.1: Sequences & Series · 12.1.1

Arithmetic sequences Problem set B Answers

Skills

    1. (a) 102
    2. (b) −49
    3. (c) 66.5

  2. \(d = 4,\ u_1 = 3\)

    1. (a) \(6n + 3\)
    2. (b) \(55 - 5n\)
    3. (c) \(4n - 13\)
    1. (a) 30th term
    2. (b) The 20th term, −3
    1. (a) \(d = -5,\ u_1 = 47\)
    2. (b) \(d = 4,\ u_1 = -8,\ u_{32} = 116\)
    1. (a) Yes, term 50
    2. (b) No
    3. (c) Yes, term 27

In context

  1. (a) 48 (b) Row 24

  2. (a) \(80 - 2.5n\) litres (b) 32 minutes

  3. (a) 74 strips (b) 38 tiles

Stretch

  1. \(x = 7\); the terms are 7, 22, 37.

  2. 44 (from 207 to 594)

jmaths.xyz · AI HL · 12.1.1 Arithmetic Sequences