![]() Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License. The formula to find the sum of the first n terms of a geometric sequence is a times 1 minus r to the nth power over 1 minus r where n is the number of terms we want to find the sum for, a our. This sequence has a factor of 2 between each number. Begin by finding the common ratio, r 6 3 2. Example 9.3.1: Find an equation for the general term of the given geometric sequence and use it to calculate its 10th term: 3, 6, 12, 24, 48. Geometric Sequences In a Geometric Sequence each term is found by multiplying the previous term by a constant. In fact, any general term that is exponential in n is a geometric sequence. We recommend using aĪuthors: Lynn Marecek, Andrea Honeycutt Mathis Geometric Sequences and Sums Sequence A Sequence is a set of things (usually numbers) that are in order. Use the information below to generate a citation. Then you must include on every digital page view the following attribution: ![]() 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, The calculator will generate all the work with detailed explanation. For example, the calculator can find the first term () and common ratio () if and. Also, this calculator can be used to solve more complicated problems. Want to cite, share, or modify this book? This book uses the This tool can help you find term and the sum of the first terms of a geometric progression. In each term, the number of times a 1 a 1 is multiplied by r is one less than the number of the term. Minimum number of operations to convert a given sequence into a Geometric Progression Number of GP (Geometric Progression) subsequences of size 3 More problems related to Geometric Progression. Plug in what we know to the formula for the sum and solve for the first term: 242 a1(1 35) 1 3 242 a1( 242) 2 242 121a1 a1 2.
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