1 / 45

Sept 14 - Arithmetic Sequences Explicit Formula

Algebra 1<br>Middle school math

cocoore
Download Presentation

Sept 14 - Arithmetic Sequences Explicit Formula

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. live creative day! 9.14.22 Open spiral to the Warm-up section. Warm-up Notes: Arithmetic Sequences Graded CW Would you rather own a sloth or a koala? Pencil, Notebook, Chromebook

  2. Arithmetic Sequences

  3. Warm-up: Write each sequence in your spiral. Then determine the next three terms of each. • 18, 30, 42, 54, ___, ___, ___ • -41, -47, -53, -59, ___, ___, ___ • 6, 12, 24, 48, ___, ___, ___ • 11, 121, 12321, ___, ___, ___ • 0.1, 0.01, 0.001, ___, ___, ___

  4. Warm-up: Write each sequence in your spiral. Then determine the next three terms of each. • 18, 30, 42, 54, ___, ___, ___ • -41, -47, -53, -59, ___, ___, ___ • 6, 12, 24, 48, ___, ___, ___ • 11, 121, 12321, ___, ___, ___ • 0.1, 0.01, 0.001, ___, ___, ___ 66 78 90

  5. Warm-up: Write each sequence in your spiral. Then determine the next three terms of each. • 18, 30, 42, 54, ___, ___, ___ • -41, -47, -53, -59, ___, ___, ___ • 6, 12, 24, 48, ___, ___, ___ • 11, 121, 12321, ___, ___, ___ • 0.1, 0.01, 0.001, ___, ___, ___ 66 78 90 -65 -71 -77

  6. Warm-up: Write each sequence in your spiral. Then determine the next three terms of each. • 18, 30, 42, 54, ___, ___, ___ • -41, -47, -53, -59, ___, ___, ___ • 6, 12, 24, 48, ___, ___, ___ • 11, 121, 12321, ___, ___, ___ • 0.1, 0.01, 0.001, ___, ___, ___ 66 78 90 -65 -71 -77 96 192 384

  7. Warm-up: Write each sequence in your spiral. Then determine the next three terms of each. • 18, 30, 42, 54, ___, ___, ___ • -41, -47, -53, -59, ___, ___, ___ • 6, 12, 24, 48, ___, ___, ___ • 11, 121, 12321, ___, ___, ___ • 0.1, 0.01, 0.001, ___, ___, ___ 66 78 90 -65 -71 -77 96 192 384 1234321 123454321 12345654321

  8. Warm-up: Write each sequence in your spiral. Then determine the next three terms of each. • 18, 30, 42, 54, ___, ___, ___ • -41, -47, -53, -59, ___, ___, ___ • 6, 12, 24, 48, ___, ___, ___ • 11, 121, 12321, ___, ___, ___ • 0.1, 0.01, 0.001, ___, ___, ___ 66 78 90 -65 -71 -77 96 192 384 1234321 123454321 12345654321 0.0001, 0.00001, 0.000001

  9. This is what you should have already filled in from Brightspace.

  10. Turn to the Notes section of your spiral.

  11. Arithmetic Sequences

  12. Arithmetic Sequences an= a1 + d(n-1) or an = a1 + (n-1)d

  13. Arithmetic Sequences an= a1 + d(n-1) nth term: the term you want to know

  14. Arithmetic Sequences an= a1 + d(n-1) nth term: the term you want to know first term in the sequence

  15. Arithmetic Sequences an= a1 + d(n-1) nth term: the term you want to know first term in the sequence common difference

  16. Arithmetic Sequences an= a1 + d(n-1) nth term: the term you want to know term number first term in the sequence common difference

  17. Arithmetic Sequences an= a1 + d(n-1) nth term: the term you want to know term number first term in the sequence common difference

  18. Arithmetic Sequences Writing the explicit formula: Step 1: Fill in a1and d. Step 2: Distribute. Step 3: Simplify.

  19. Arithmetic Sequences Writing the explicit formula: Step 1: Fill in a1and d. Step 2: Distribute. Step 3: Simplify.

  20. Arithmetic Sequences Writing the explicit formula: Step 1: Fill in a1and d. Step 2: Distribute. Step 3: Simplify.

  21. Arithmetic Sequences Writing the explicit formula: Step 1: Fill in a1and d. Step 2: Distribute. Step 3: Simplify.

  22. Ex. 1: Write the explicit formula: 16, 20, 24, ... an= a1 + d(n-1)

  23. Ex. 1: Write the explicit formula: 16, 20, 24, ...

  24. Ex. 1: Write the explicit formula: 16, 20, 24, ...

  25. Ex. 1: Write the explicit formula: 16, 20, 24, ...

  26. Ex. 1: Write the explicit formula: 16, 20, 24, ...

  27. Ex. 1: Write the explicit formula: 16, 20, 24, ...

  28. Ex. 2: Write the explicit formula: -125, -131, -137 ... an= a1 + d(n-1)

  29. Ex. 2: Write the explicit formula:

  30. Ex. 2: Write the explicit formula:

  31. Ex. 2: Write the explicit formula:

  32. Ex. 2: Write the explicit formula:

  33. Ex. 2: Write the explicit formula:

  34. Ex. 3: Find the nth term using the explicit formula: Given: a1=4 and d=6 Find: a12=

  35. Ex. 3: Find the nth term using the explicit formula: Given: a1=4 and d=6 Find: a12an= a1 + d(n-1)

  36. Ex. 3: Find the nth term using the explicit formula: Given: a1=4 and d=6 Find: a12an= a1 + d(n-1) a12= 4+ 6(12-1)

  37. Ex. 3: Find the nth term using the explicit formula: Given: a1=4 and d=6 Find: a12an= a1 + d(n-1) a12= 4+ 6(12-1) a12= 4+ 6(11)

  38. Ex. 3: Find the nth term using the explicit formula: Given: a1=4 and d=6 Find: a12an= a1 + d(n-1) a12= 4+ 6(12-1) a12= 4+ 6(11) a12= 4+ 66

  39. Ex. 3: Find the nth term using the explicit formula: Given: a1=4 and d=6 Find: a12an= a1 + d(n-1) a12= 4+ 6(12-1) a12= 4+ 6(11) a12= 4+ 66 a12= 70

  40. Ex. 4 - YOU TRY: Find the nth term using the explicit formula: Given: a1=-2 and d=5 Find: a24an= a1 + d(n-1)

  41. Ex. 4 - YOU TRY: Find the nth term using the explicit formula: Given: a1=-2 and d=5 Find: a24an= a1 + d(n-1) a24= -2+ 5(24-1) a24= -2+ 5(23) a24= -2+ 115 a24= 113

  42. Let’s Practice!!

  43. New Concepts Topic: Arithmetic Sequences Digital Version to Post to Brightspace: Assignment: 10 points due Friday, 9/16 https://docs.google.com/presentation/d/1sZe59mU8OCFU_Uj-MyDoMl5u7rfm_QkagtyGFEBAIOs/edit?usp=sharing

  44. Arithmetic Sequences

  45. Arithmetic Sequences

More Related