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Section 10-3: Geometric Sequences and Series

Section 10-3: Geometric Sequences and Series. Find both an explicit formula and a recursive formula for the nth term of each geometric sequence. 36, 12, 4, … -2, 10, -50, …. Find the specified term for each geometric sequence. Find the specified term for each geometric sequence.

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Section 10-3: Geometric Sequences and Series

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  1. Section 10-3: Geometric Sequences and Series

  2. Find both an explicit formula and a recursive formula for the nth term of each geometric sequence. 36, 12, 4, … -2, 10, -50, …

  3. Find the specified term for each geometric sequence.

  4. Find the specified term for each geometric sequence.

  5. Melina receives a chain email that she forwards to 7 of her friends. Each of her friends forward it to 7 of their friends. Write an explicit formula for the pattern. How many will receive the email after 6 forwards?

  6. A bacteria divides every 15 minutes to produce two complete bacteria. • If an initial colony contains a population of bacteria, write an equation that will determine the number of bacteria present after t hours. • Suppose a Petri dish contains 12 bacteria. How many bacteria will be present after 4 hours?

  7. You are an accountant for a small company. On January 1, 2009 the company purchased $50,000 worth of computers, printers, scanners, and hardware. Because this equipment is a company asset, you need to determine how much the computer equipment is presently worth. You estimate that the equipment depreciates at a rate of 45% per year. What value should you assign the equipment in the 2014 year-3nd accounting report?

  8. Find the indicated geometric means for each pair of nonconsecutive terms. 4 and 256; 2 means iand -1; 4 means

  9. Find the indicated geometric means for each pair of nonconsecutive terms. -2 and 54; 2 means

  10. Determine whether the following sequences are arithmetic or geometric. Find the common difference or ratio. 109, 97, 85, 73,… -97, -29, 39, … 10, -5, 2.5, …

  11. Find the sum of the first six terms of the geometric series 8 + 14 + 24.5 + …

  12. Find the sum of the first n terms of the geometric series with

  13. Find

  14. Find

  15. Find

  16. If possible, find the sum of the infinite geometric series.

  17. If possible, find the sum of the infinite geometric series.

  18. If possible, find the sum of the infinite geometric series.

  19. Homework: Pg. 615-616 #32, 33, 41, 43, 49, 51, 56, 60, 65, 66, 73

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