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

Arithmetic sequences Problem set A Answers

Skills

    1. (a) 93
    2. (b) −81
    3. (c) 47.5

  2. \(d = 5,\ u_1 = 5\)

    1. (a) \(5n + 3\)
    2. (b) \(34 - 4n\)
    3. (c) \(3n - 10\)
    1. (a) 27th term
    2. (b) The 28th term, −1
    1. (a) \(d = -4,\ u_1 = 39\)
    2. (b) \(d = 3,\ u_1 = -5,\ u_{30} = 82\)
    1. (a) Yes, term 44
    2. (b) No
    3. (c) Yes, term 22

In context

  1. (a) 57 (b) Row 25

  2. (a) \(24 - 1.5n\) cm (b) 16 hours

  3. (a) 32 people (b) 45 tables

Stretch

  1. \(x = 5\); the terms are 5, 13, 21.

  2. 57 (from 105 to 497)

jmaths.xyz · AI SL · 12.1.1 Arithmetic Sequences