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Calculating Sums and Analyzing Sequences: Homework Solutions and Review

In this homework assignment, we explore key concepts in mathematics including the sum of multiples of 9 between 21 and 391. We also analyze a geometric sequence with the first term a1 = 16, a common ratio r = 3/2, and a given sum Sn = 211, allowing us to determine n and an. Further, we review convergence and divergence of various series, providing concise answers to homework questions from pages 739 and 750. This reinforces our understanding of arithmetic and geometric sequences.

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Calculating Sums and Analyzing Sequences: Homework Solutions and Review

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  1. Warm Up Feb. 18th Calculate the sum of the multiples of 9 between 21 and 391. For a geometric sequence, a1 = 16, r = 3/2, and Sn = 211. Determine n and an. 3.

  2. Homework Answers & Questions? Pg 739 #11 – 20 11. Diverges 12. Converges to 0 13. Converges to 0 14. Diverges 15. Converges to -1 16. Converges to 2 17. Converges to 0 18. Diverges 19. Diverges 20. Converges to 0

  3. Homework Answers & Questions? Pg 750 #25 – 30 25. Yes, 12 26. Yes, 6 27. No 28. No 29. Yes, 1 30. Yes, 10

  4. Review Questions from Yesterday?

  5. Sequences & Series Review Arithmetic: Geometric: Pattern – Explicit Formula – Sum – Converge – Infinite Sum -

  6. Stations Review

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