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Sequences and Series

Sequences and Series. Arithmetic. Geometric. Where do I belong?. first term. first term. first term. first term. Pg. 607 #1-32. Sequence and Series. Describe each using: Sequence/Series; Arithmetic/Geometric; Finite/Infinite 2, 8, 14, 20, 26. Answer.

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Sequences and Series

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  1. Sequences and Series Arithmetic Geometric Where do I belong? • first term • first term • first term • first term Pg. 607 #1-32

  2. Sequence and Series

  3. Describe each using:Sequence/Series; Arithmetic/Geometric; Finite/Infinite • 2, 8, 14, 20, 26 Answer

  4. Describe each using:Sequence/Series; Arithmetic/Geometric; Finite/Infinite • 2, 8, 14, 20, 26 • Finite Arithmetic Sequence

  5. Describe each using:Sequence/Series; Arithmetic/Geometric; Finite/Infinite • 2, 8, 32, 128, … Answer

  6. Describe each using:Sequence/Series; Arithmetic/Geometric; Finite/Infinite • 2, 8, 32, 128, … • Infinite Geometric Sequence

  7. Describe each using:Sequence/Series; Arithmetic/Geometric; Finite/Infinite • 1 + 5 + 9 + ∙∙∙ Answer

  8. Describe each using:Sequence/Series; Arithmetic/Geometric; Finite/Infinite • 1 + 5 + 9 + ∙∙∙ • Infinite Arithmetic Series

  9. Describe each using:Sequence/Series; Arithmetic/Geometric; Finite/Infinite • 16 + 8 + 4 + 2 + 1 Answer

  10. Describe each using:Sequence/Series; Arithmetic/Geometric; Finite/Infinite • 16 + 8 + 4 + 2 + 1 • Finite Geometric Series

  11. Describe each using:Sequence/Series; Arithmetic/Geometric; Finite/Infinite Answer

  12. Describe each using:Sequence/Series; Arithmetic/Geometric; Finite/Infinite • Infinite Geometric Series

  13. Write in summation notation Answer

  14. Write in summation notation Or

  15. Write a recursive definition, explicit formula and find the 15 term for the sequence: • 12, 21, 30, 39, . . . Answer

  16. Write a recursive definition, explicit formula and find the 15 term for the sequence: • 12, 21, 30, 39, . . . Recursive:

  17. Write a recursive definition, explicit formula and find the 18 term for the sequence: • 45, 37, 29, 21, . . . Answer

  18. Write a recursive definition, explicit formula and find the 18 term for the sequence: • 45, 37, 29, 21, . . . Recursive:

  19. Find the missing term of the arithmetic sequence Answer

  20. Find the missing term of the arithmetic sequence

  21. Find the missing terms of the arithmetic sequence Answer

  22. Find the missing terms of the arithmetic sequence 5,

  23. Write in summation notation Answer

  24. Write in summation notation

  25. Write a recursive definition, explicit formula and find the 10 term for the sequence: Answer

  26. Write a recursive definition, explicit formula and find the 10 term for the sequence: Recursive:

  27. Write a recursive definition, explicit formula and find the 9 term for the sequence: Answer

  28. Write a recursive definition, explicit formula and find the 9 term for the sequence: Recursive:

  29. Find the missing term of the geometric sequence Answer

  30. Find the missing term of the geometric sequence

  31. Find the missing terms of the geometric sequence Answer

  32. Find the missing terms of the geometric sequence 5,

  33. Evaluate the sum of each series Answer

  34. Evaluate the sum of each series

  35. Evaluate the sum of each series Answer

  36. Evaluate the sum of each series

  37. Evaluate the sum of each series Answer

  38. Evaluate the sum of each series

  39. Evaluate the sum of each series Answer

  40. Evaluate the sum of each series

  41. Evaluate the sum of each series Answer

  42. Evaluate the sum of each series

  43. The number of toy rockets made by an assembly line for 8 hours forms an arithmetic sequence. If the line produced 40 rockets in hour one and 43 rockets in hour two, how many rockets will be produced in hour seven? • How many rockets will be produced in one 8 hour day? Answer

  44. The number of toy rockets made by an assembly line for 8 hours forms an arithmetic sequence. If the line produced 40 rockets in hour one and 43 rockets in hour two, how many rockets will be produced in hour seven? • How many rockets will be produced in one 8 hour day?

  45. You invested money in a fund and each month you receive a payment for your investment. Over the first four months, you received $50, $57, $64, $71. If this pattern continues, how much will you receive in the 12th month and who much will you receive for the entire year? Write an explicit equation to model the problem. Answer

  46. You invested money in a fund and each month you receive a payment for your investment. Over the first four months, you received $50, $57, $64, $71. If this pattern continues, how much will you receive in the 12th month and who much will you receive for the entire year? Write an explicit equation to model the problem.

  47. You are trying to save $1500. You begin with $5 and save $3 more than the previous week for 30 weeks. Will you meet your goal? • Write an explicit formula to model this problem • What is the amount you will save in week 30? • What is the total amount you will save over 30 weeks? Answer

  48. You are trying to save $1500. You begin with $5 and save $3 more than the previous week for 30 weeks. Will you meet your goal? • Write an explicit formula to model this problem • What is the amount you will save in week 30? • What is the total amount you will save over 30 weeks? • No

  49. You saved $500 this year. Each year you plan to save 5% more than the previous year. • Write an explicit formula to model this situation. • How much will you save in the 8 year? • How much will you have saved totally over years, assume you do not spend anything? Answer

  50. You saved $500 this year. Each year you plan to save 5% more than the previous year. • Write an explicit formula to model this situation. • How much will you save in the 8 year? • How much will you have saved totally over years, assume you do not spend anything?

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