Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License. Find the value of the common ratio for the sequence. The height that the ball bounces the first time, h1 h1, is 80 80 cm, and the second time, h2 h2, is 60 60 cm. The heights of the bounces, h1, h2, h3, dots,hn, h1,h2,h3,hn, form a geometric sequence. We will work on these problems in a variety of ways. A tennis ball bounces on the ground n n times. 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. We recommend using aĪuthors: Lynn Marecek, Andrea Honeycutt Mathis Students will use arithmetic and geometric sequences and series to solve problems. In fact, any general term that is exponential in n is a geometric sequence. 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 This Algebra 2 Sequences and Series Worksheet will produce problems with arithmetic and geometric means. Ī n = 22 + ( n − 1 ) ( −2 ) a n = 22 + ( n − 1 ) ( −2 ) Arithmetic and Geometric Means Worksheets. The twelfth term of the sequence is 0, a 12 = 0. Formulas for the nth terms of arithmetic and geometric sequences For an arithmetic sequence, a formula for thenth term of the sequence is a n5 a 1 n 2 1d. Ī 12 = 22 + ( 12 − 1 ) ( −2 ) a 12 = 22 + ( 12 − 1 ) ( −2 )Ī 12 = 22 + ( 11 ) ( −2 ) a 12 = 22 + ( 11 ) ( −2 ) For an arithmetic sequence we get thenth term by adding d to the rst term n 2 1 times for a geometric sequence, we multiply the rst term byr, n 2 1 times. These Sequences and Series Worksheets are a good resource for students in the 8th Grade through the 12th Grade.To first find the first term, a 1, a 1, use theįormula with a 7 = 10, n = 7, and d = −2. These Algebra 2 Sequences and Series Worksheets will produce problems for infinite geometric series. These Sequences and Series Worksheets are a good resource for students in the 8th Grade through the 12th Grade. These Algebra 2 Sequences and Series Worksheets will produce problems for finite geometric series. These Algebra 2 Sequences and Series Worksheets will produce problems with arithmetic and geometric means. These Sequences and Series Worksheets are a good resource for students in the 8th Grade through the 12th Grade.Īrithmetic and Geometric Means Worksheets These Algebra 2 Sequences and Series Worksheets will produce problems with arithmetic series. These Algebra 2 Sequences and Series Worksheets will produce problems that will introduce the student to general series. These Algebra 2 Sequences and Series Worksheets will produce problems for comparing arithmetic and geometric sequences. These Sequences and Series Worksheets are a good resource for students in the 8th Grade through the 12th Grade.Ĭomparing Arithmetic and Geometric Sequences Worksheets These Algebra 2 Sequences and Series Worksheets will produce problems with geometric sequences. Secondary I - 4.3 Arithmetic and Geometric Sequences Worksheet. These Algebra 2 Sequences and Series Worksheets will produce problems with arithmetic sequences. 23 Kuta software Infinite Algebra 2 Arithmetic Sequences. These Algebra 2 Sequences and Series Worksheets will produce problems that will introduce the student to general sequences. Detailed Description for All Sequences and Series Worksheets
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