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IB Mathematics: Applications and Interpretation HL · 12.1: Sequences & Series · 12.1.4

Sigma notation Problem set B Answers

Skills

    1. (a) 98
    2. (b) 333
    3. (c) 378
    4. (d) 1456

  2. \(52 - 7 + 1 = 46\)

    1. (a) \(\displaystyle\sum_{r=1}^{32}(3r + 1)\)
    2. (b) \(\displaystyle\sum_{r=1}^{7} 5 \times 3^{r-1}\)

  4. Arithmetic: 116 + 112 + … + 16. \(13(116 + 16) = 1716\).

    1. (a) 200
    2. (b) 33

Stretch

  1. \(n^2 + 6n = 315\), so \(n = 15\).

  2. n = 8

jmaths.xyz · AI HL · 12.1.4 Series & Sigma Notation