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IB Mathematics: Applications and Interpretation SL · 12.1: Sequences & Series · 12.1.2

Arithmetic series Problem set B Answers

Skills

    1. (a) 1390
    2. (b) −675
    3. (c) 3660

  2. \(6(6 + 11d) = 300\), so \(d = 4\).

    1. (a) 690
    2. (b) 1751
    1. (a) 16 (\(S_{15} = 690\) exactly, \(S_{16} = 784\))
    2. (b) \(n = 19\)

  5. 462

In context

  1. 20 rows; \(10(30 + 11) = 410\) pipes.

  2. (a) €1360 (b) Month 26 (\(S_{25} = 1950,\ S_{26} = 2080\))

Stretch

  1. \(u_1 = S_1 = 3\); \(u_n = S_n - S_{n-1} = 8n - 5\).

  2. 40 terms; \(20(9 + 360) = 7380\).

jmaths.xyz · AI SL · 12.1.2 Arithmetic Series