1 / 18

Warm Up

Warm Up. Find the Pattern: 130, 65, 32.5, 16.25 46, 55.5, 65, 74.5 6, 12, 24, 48. Answers. *1/2 +9.5 *2. Directions. Step 1: Start the anticipation guide by filling out the “Me” column with true or false based on your current ideas. Step 2: Read pages 28-31 in your textbook

kamala
Download Presentation

Warm Up

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 • Find the Pattern: • 130, 65, 32.5, 16.25 • 46, 55.5, 65, 74.5 • 6, 12, 24, 48

  2. Answers • *1/2 • +9.5 • *2

  3. Directions Step 1: Start the anticipation guide by filling out the “Me” column with true or false based on your current ideas. Step 2: Read pages 28-31 in your textbook Step 3: Go back and complete the “Text” column with your new answers after reading about the topic.

  4. Investigation Page 31

  5. LECTURE • Recursive Formulas: 1.1

  6. Notation • When describing sequences we use “U sub n”. is the term you are talking about, and is the previous term. • This is weird at first, but you will get used to it.

  7. Definitions • Arithmetic Sequence • The previous term plus a constant. • The constant is called the “common difference” • How do we know if it is arithmetic? • should be the same number for each

  8. Definitions • Geometric Sequence: • The previous term multiplied by a constant • Constant is called a “common ratio” • How do we know it is geometric? should be the same number for each pair.

  9. Definition • Shifted Geometric Sequence • Combines arithmetic and geometric. • We will look at these more in a couple days.

  10. To create a sequence given an equation, you need two things. • The first number of the sequence. 2. The equation.

  11. Example 1 Arithmetic or geometric? Sequence is: {2,5,8,11,14…}

  12. Example 2 Arithmetic or geometric? Sequence is: {1,3,9,27…}

  13. Example 3 • To go from a sequence to an equation, you have to find the pattern (look at your definitions)

  14. Name that sequence!Arithmetic or Geometric? Arithmetic Geometric Arithmetic Geometric • 6, 11, 16, 21… • 100, 10, 1, 0.1… • -4, -3.99, -3.98… • .0625, .125, .25

  15. You try a couple… Generate the sequence for each equation below.

  16. Example 4 • 5000, 500, 50, 5 • Clearly this is not arithmetic, so now we check for the common ratio. • 500/5000=0.1 • 50/500=0.1 • 5/50=0.1 All the same, so the common difference is .1. Equation is

  17. You try a few • 6, 11, 16, 21… • 100, 10, 1, 0.1… • .0625, .125, .25 +5 *0.1 *2

  18. Homework • Worksheet 1.1 • Skip 6. *This is a big assignment, use your time well! ** Quiz on Monday!

More Related