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13.1 Exercise 41

Avg difficulty 2.5

Write the first eight terms of the piecewise sequence.

a n ={ −0.6⋅ 5 n−1 if nis prime or 1 2.5⋅ (−2) n−1 if nis composite a_{n} = \left\{\right. \begin{matrix}- 0.6 \cdot 5^{n - 1} & \text{if}\textrm{ } n \text{is}\textrm{ }\text{prime}\textrm{ }\text{or}\textrm{ }\text{1} \\ 2.5 \cdot \left(- 2\right)^{n - 1} & \text{if}\textrm{ } n \text{is}\textrm{ }\text{composite}\end{matrix}

OpenStax Algebra and Trigonometry 2e, 13.1 Sequences and Their Notations, exercise 41

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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.