If an arithmetic sequence is identified, state its common difference. Investigate whether A + B andĪ x B are arithmetic or geometric sequences. Which term if the geometric sequence 18,54,162,486. Please give the answers and solutions for each.ġ.If the second term is 2 and the seventh term of a geometric sequence is 64, find the 12th term.Use the graph of the function f of x equals 2 plus 1 over x to determine which of the following statements is false for the sequence a sub n equals the sequence 2 plus 1 over n.What would be the price of a sweater after 8 discounts? Is this an arithmetic or geometric sequence? 0625 form a series of 5 consecutive terms in a geometric sequence? Select all that applyĪ store manager plans to offer discounts on some sweater acording to this sequence: $48, $36, $27, $20.255. Which of the following three numbers, inserted between 16 and.geometric, 1, 1/3, 1/9 What are the first four terms of an arithmetic sequence if the common Find the common ratio of the geometric sequences.ġ. The first, third and ninth terms of an arithmetic sequence form the terms of a geometric sequence.Is this series convergent or divergent? If it is convergent, what value of x yields an infinite sum of 1085/13? Ī different geometric sequence has r = -6/7 and the first term is denoted x. Eric thinks of 2 sequences.One is geometric and the other arithmetic.Both sequences start with the number 3.The common ratio of the geometric sequence is the same as the common difference of the arithmetic sequence.If the 6-th term of the geometric.Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License. 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, Want to cite, share, or modify this book? This book uses the Multiplying any term of the sequence by the common ratio 6 generates the subsequent term. The sequence below is an example of a geometric sequence because each term increases by a constant factor of 6. Each term of a geometric sequence increases or decreases by a constant factor called the common ratio. The yearly salary values described form a geometric sequence because they change by a constant factor each year. In this section, we will review sequences that grow in this way. When a salary increases by a constant rate each year, the salary grows by a constant factor. His salary will be $26,520 after one year $27,050.40 after two years $27,591.41 after three years and so on. His annual salary in any given year can be found by multiplying his salary from the previous year by 102%. He is promised a 2% cost of living increase each year. Suppose, for example, a recent college graduate finds a position as a sales manager earning an annual salary of $26,000. Many jobs offer an annual cost-of-living increase to keep salaries consistent with inflation.
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