1 / 16

Warm-Up: February 28, 2013 Find the next 3 terms:

Warm-Up: February 28, 2013 Find the next 3 terms:. 2, 4, 8, 16, … -54, -18, -6, … 3, -6, 12, -24, …. Homework Questions?. Geometric Sequences. Section 11.4. Essential Questions. How can we use geometric sequences to find any term? How can we calculate geometric means?. Definition.

zeal
Download Presentation

Warm-Up: February 28, 2013 Find the next 3 terms:

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Warm-Up: February 28, 2013Find the next 3 terms: • 2, 4, 8, 16, … • -54, -18, -6, … • 3, -6, 12, -24, …

  2. Homework Questions?

  3. Geometric Sequences Section 11.4

  4. Essential Questions • How can we use geometric sequences to find any term? • How can we calculate geometric means?

  5. Definition • A geometric sequence is a sequence in which the ratio of successive terms is the same number, r, called the common ratio. • Multiply a term by r to get the next term.

  6. Example: Page 717 #9 • Determine whether each sequence is a geometric sequence. If so, identify the common ratio, r, and give the next three terms. • 20, 40, 80, 160, …

  7. You-Try: Page 717 #13 • Determine whether each sequence is a geometric sequence. If so, identify the common ratio, r, and give the next three terms. • 2, 10, 50, 250, …

  8. The Equation • tn is the nth term • t1 is the first term • n ≥ 1

  9. Better Equation • tn is the nth term • tm is the mth term • n, m are integers ≥1

  10. Finding a specific term • Find the common ratio, r. There could be two possible values: one positive, one negative. • Method 1 • Use the better formula and the values of r and tm to find tn • Method 2 • Multiply by r until you get to tn.

  11. Example: Page 718 #39 • Find the sixth term in the geometric sequence that includes each pair of terms. • t3 = 150, t5 = 3750

  12. You-Try: Page 718 #43 • Find the sixth term in the geometric sequence that includes each pair of terms. • t5 = 24, t8 = 3

  13. Geometric Means • Geometric means are the terms between two nonconsecutive terms of a geometric sequence. • Find the common ratio, r. There could be a positive and negative answer. • Multiply by r to get the missing terms. If there are two values of r, do this for both.

  14. Example: Page 718 #61 • Find three geometric means between -2 and -1/8.

  15. You-Try: Page 718 #63 • Find three geometric means between 486 and 6.

  16. Assignment • Page 717-718 #9-23 odd, 39-45 odd, 57-63 odd

More Related