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Understanding Geometric Sequences and Series: Classwork and Homework Guide

This guide provides a comprehensive overview of geometric sequences and series, including how to identify terms and calculate sums. You will find the first five terms of various sequences, such as a1 = 20 with r = ½ and a1 = 5 with r = 3. Additionally, solutions are provided for various problems on page 999, focusing on the sum of the first 100 terms and specific examples of terms. This resource is designed for students looking to reinforce their understanding of geometric concepts through classwork and homework practice.

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Understanding Geometric Sequences and Series: Classwork and Homework Guide

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  1. Bell Work • Write the first 5 terms of the geometric sequence. • a1 = 20 r = ½ • a1 = 5 r = 3

  2. CW/HW pg. 999 # 2 – 24 even 2. 4, 12, 36, 108, 324 4. 24, 8, 8/3, 8/9, 8/27 6. 10, -30, 90, -270, 810 8. -2, 12, -72, 432, -2592 10. 10,935 12. -8192 14. -.000014901 16. .004 18. 46,875 20. 3/16 or .1875 22. 1/3125 or .00032 24. 700

  3. Geometric Series Section 11.3

  4. Find the sum of the first 100 terms. • 1. 12+9+6+… • 2. -3+4+11+…

  5. Geometric Series

  6. Find the sum of the first 20 terms.

  7. Classwork/Homework Pg. 999 # 25 – 36 all

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