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

Sigma notation Problem set A Answers

Skills

    1. (a) 78
    2. (b) 160
    3. (c) 726
    4. (d) 155

  2. \(40 - 5 + 1 = 36\)

    1. (a) \(\displaystyle\sum_{r=1}^{20}(5r + 1)\)
    2. (b) \(\displaystyle\sum_{r=1}^{9} 3 \times 2^{r-1}\)

  4. Arithmetic: 97 + 94 + … + 10. \(15(97 + 10) = 1605\).

    1. (a) 120
    2. (b) -25

Stretch

  1. \(n^2 + 4n = 320\), so \(n = 16\).

  2. n = 10

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