![]() ![]() A variety of application problems are emphasized. In this lesson, students review the basic concept of an arithmetic sequence before then extending these ideas to geometric sequences. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License. Geometric Sequence: A sequence is called geometric if there is a real number r such that each term in the sequence is a product of the previous term and r. We recommend using aĪuthors: Lynn Marecek, Andrea Honeycutt Mathis Use the information below to generate a citation. It is found by taking any term in the sequence and dividing it by its preceding term. Then you must include on every digital page view the following attribution: A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value. 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, Geometric sequences were defined as using multiplication/division by a common value to get from one term to the next. Want to cite, share, or modify this book? This book uses the Some historical mathematician defined arithmetic sequences has being defined by addition/subtractions of a common value to get from one term to the next. The twelfth term of the sequence is 0, a 12 = 0. To first find the first term, a 1, a 1, use theįormula with a 7 = 10, n = 7, and d = −2. ![]()
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