![]() Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License. We recommend using aĪuthors: Lynn Marecek, Andrea Honeycutt Mathis Use the information below to generate a citation. 15) a, r 16) a, r 17) a, r 18) a, r Given a term in a geometric sequence and the common ratio find the first five terms, the explicit formula, and the recursive formula. Then you must include on every digital page view the following attribution: Given the first term and the common ratio of a geometric sequence find the recursive formula and the three terms in the sequence after the last one given. If you are redistributing all or part of this book in a digital format, Then you must include on every physical page the following attribution: If you are redistributing all or part of this book in a print format, A recursive formula allows us to find any term of an arithmetic sequence using a function of the preceding term. The geometric sequence definition is that a collection of numbers, in which all but the first one, are obtained by multiplying the previous one by a fixed, non-zero number called the common ratio. The formula provides an algebraic rule for determining the terms of the sequence. Geometric Sequence (A.SSE.4) This worksheet drills the understanding of how to find the Explicit & Recursive Formula of a Geometric Sequence. Want to cite, share, or modify this book? This book uses the Some arithmetic sequences are defined in terms of the previous term using a recursive formula. This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's permission. In each term, the number of times a 1 a 1 is multiplied by r is one less than the number of the term.
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