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Mathematical Sequences and Series Review with Problem Solving Strategies

Explore arithmetic and geometric sequences, find missing values, calculate series sums, and solve real-world problems involving sequences and series. Practice solving sequence and series problems with step-by-step solutions.

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Mathematical Sequences and Series Review with Problem Solving Strategies

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  1. Chapter 12 Review

  2. Find in the sequence -100, -83, -66, -49,…

  3. Find in the series 140 + 117 + 94 + 71 +…

  4. Describe the sequence below -4, -12, -36, -108,…

  5. Describe the sequence below -5, 2, 9, 16,…

  6. What is the value of r in the geometric sequence below 100, 80, 64, 51.2…

  7. Write the first three terms of the following sequence defined by:

  8. Find in the geometric sequence which and

  9. Expand and Evaluate the following:

  10. Find the sum:

  11. Find for the geometric series in which and r = -2

  12. Each row of seats in a theater has 3 more seats than the previous row, and the first row has 20 seats. If there are 30 rows in the theater, find the total number of seats.

  13. Find the geometric mean between 8 and 32

  14. Find 6 arithmetic terms between 16 and 100 16, __,__,__,__,__,__, 100

  15. Suppose a cook earns $28,000 the first year on the job. Each year after the first year the cook earns $1125 more than the previous year. How much will the cook earn in the 10th year only?

  16. Suppose a cook earns $28,000 the first year on the job. Each year after the first year the cook earns $1125 more than the previous year. Find the total amount earned over the 10 years of employment?

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