Back to 13.4 Series and Their Notations

Finding the First n Terms of an Arithmetic Series

Avg difficulty 2.5

Find the sum of each arithmetic series.

  1. ⓐ 5 + 8 + 11 + 14 + 17 + 20 + 23 + 26 + 29 + 32 \text{5}\textrm{ }+\textrm{ }\text{8}\textrm{ }+\textrm{ }\text{11}\textrm{ }+\textrm{ }\text{14}\textrm{ }+\textrm{ }\text{17}\textrm{ }+\textrm{ }\text{20}\textrm{ }+\textrm{ }\text{23}\textrm{ }+\textrm{ }\text{26}\textrm{ }+\textrm{ }\text{29}\textrm{ }+\textrm{ }\text{32}
  2. ⓑ 20 + 15 + 10 +…+ −50 \text{20}\textrm{ }+\textrm{ }\text{15}\textrm{ }+\textrm{ }\text{10}\textrm{ }+\ldots+\textrm{ }−\text{50}
  3. ⓒ ∑ k=1 12 3k−8 \sum_{k = 1}^{12} 3 k - 8

OpenStax Algebra and Trigonometry 2e, 13.4 Series and Their Notations, exercise 10

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.