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Writing the Terms of a Sequence Defined by a Piecewise Explicit Formula

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Write the first six terms of the sequence.

a n ={ n 2 if nis not divisible by 3 n 3 if nis divisible by 3 a_{n} = \left\{\right. \begin{matrix}n^{2} & \text{if}\textrm{ } n \text{is}\textrm{ }\text{not}\textrm{ }\text{divisible}\textrm{ }\text{by}\textrm{ }\text{3} \\ \frac{n}{3} & \text{if}\textrm{ } n \text{is}\textrm{ }\text{divisible}\textrm{ }\text{by}\textrm{ }\text{3}\end{matrix}

OpenStax Algebra and Trigonometry 2e, 13.1 Sequences and Their Notations, exercise 11

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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.