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Back to 13.1 Sequences and Their Notations

13.1 Exercise 20

Avg difficulty 2.5

Write the first 8 terms of the sequence defined by the recursive formula.

a 1 =0 a 2 =1 a 3 =1 a n = a n−1 a n−2 + a n−3 , for n≥4 \begin{matrix}\begin{matrix} \\ a_{1} = 0\end{matrix} \\ a_{2} = 1 \\ a_{3} = 1 \\ a_{n} = \frac{a_{n - 1}}{a_{n - 2}} + a_{n - 3} ,\textrm{ }\text{for}\textrm{ } n \geq 4\end{matrix}

OpenStax Algebra and Trigonometry 2e, 13.1 Sequences and Their Notations, exercise 20

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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.