Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License. Use the information below to generate a citation. A Level Pure Mathematics Sequences and Series, Videos Recurrence Relations Arithmetic Sequences and Series Geometric Sequences and Series The Binomial. Algebra 2 AII.2 Geometric Sequences and Series Notes Mrs. 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. Geometric Sequences Questions GCSE (9-1) Maths Worksheet ExamQA. 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. Students practice determining if a sequence is geoemtric (or not), finding ratios, finding the nth term of a geometric sequence and finding multiple subsequent terms of a sequence. When a salary increases by a constant rate each year, the salary grows by a constant factor. Find the nth term or the geometric sequence with giver first term a and a common ratio r. 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. Use an explicit formula for a geometric sequence.Use a recursive formula for a geometric sequence.List the terms of a geometric sequence.Find the common ratio for a geometric sequence.**Note**: This bundle may include worksheets that strictly speaking fall under grade 5 or 7, but students aiming for grade 6 are expected to access some/most of the content within them. Thorough, comprehensive and structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking. Given the explicit formula for a geometric sequence find the first five terms and the 8th term. Given the explicit formula for a geometric sequence find the term named in the problem and the recursiveformula. A collection of 20 well thought out GCSE maths worksheets with answers carefully designed to help students aiming for grade 6.
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