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Sept. 15 Arithmetic Sequences - Using 2 Points

Algebra 1<br>Middle school math

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Sept. 15 Arithmetic Sequences - Using 2 Points

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  1. double cheeseburger day! 9.15.22 Pick up a warm-up. Work with your tables to complete as much as you can. Warm-up Notes Quizizz Rank Them: • McDonalds • Wendys • Burger King • Arbys • KFC Pencil, Notebook, Chromebook

  2. 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

  3. Warm-up Arithmetic Sequences Name: Date: Pd:

  4. Warm-up Arithmetic Sequences Name: Date: Pd:

  5. Warm-up Arithmetic Sequences Name: Date: Pd:

  6. Warm-up Arithmetic Sequences Name: Date: Pd:

  7. Warm-up Arithmetic Sequences Name: Date: Pd:

  8. Warm-up Arithmetic Sequences Name: Date: Pd:

  9. Arithmetic Sequences

  10. Arithmetic Sequences an = a1 + d(n - 1) an = 12 + -5(n - 1) an = 12 - 5n + 5 an = - 5n + 17

  11. Arithmetic Sequences

  12. Arithmetic Sequences an = a1 + d(n - 1) an = ¾ + ½ (n - 1) an = ¾ + ½ n - ½ an = ½ n - ¼

  13. Arithmetic Sequences

  14. Arithmetic Sequences What information do I need to be able to write the formula??

  15. Arithmetic Sequences I need to figure out a1and d!!

  16. Arithmetic Sequences First find d: Terms 8 and 14 are 6 apart. (14-8=6) The term values are 18 apart. (43-25=18) Divide to find d: 18/6 = 3 d=3

  17. Arithmetic Sequences First find d: Terms 8 and 14 are 6 apart. (14-8=6) The term values are 18 apart. (43-25=18) Divide to find d: 18/6 = 3 d=3

  18. Arithmetic Sequences First find d: Terms 8 and 14 are 6 apart. (14-8=6) The term values are 18 apart. (43-25=18) Divide to find d: 18/6 = 3 d=3

  19. Arithmetic Sequences First find d: Terms 8 and 14 are 6 apart. (14-8=6) The term values are 18 apart. (43-25=18) Divide to find d: 18/6 = 3 d=3

  20. Arithmetic Sequences First find d: Terms 8 and 14 are 6 apart. (14-8=6) The term values are 18 apart. (43-25=18) Divide to find d: 18/6 = 3 d=3

  21. Arithmetic Sequences Next, use the value of d and one of the terms to fill in the formula: an = a1 + d(n - 1) 25 = a1 + 3 (8 - 1) 25 = a1 + 3(7) 25 = a1 + 21 4 = a1

  22. Arithmetic Sequences Next, use the value of d and one of the terms to fill in the formula: an = a1 + d(n - 1) 25 = a1 + 3 (8 - 1) 25 = a1 + 3(7) 25 = a1 + 21 4 = a1

  23. Arithmetic Sequences Next, use the value of d and one of the terms to fill in the formula: an = a1 + d(n - 1) 25 = a1 + 3 (8 - 1) 25 = a1 + 3(7) 25 = a1 + 21 4 = a1

  24. Arithmetic Sequences Next, use the value of d and one of the terms to fill in the formula: an = a1 + d(n - 1) 25 = a1 + 3 (8 - 1) 25 = a1 + 3(7) 25 = a1 + 21 4 = a1

  25. Arithmetic Sequences Next, use the value of d and one of the terms to fill in the formula: an = a1 + d(n - 1) 25 = a1 + 3 (8 - 1) 25 = a1 + 3(7) 25 = a1 + 21 4 = a1

  26. Arithmetic Sequences Finally, use a1 and d to write and simplify explicit formula: an = a1 + d(n - 1) an = 4 + 3(n - 1) an = 4 + 3n - 3 an = 3n + 1

  27. Arithmetic Sequences Finally, use a1 and d to write and simplify explicit formula: an = a1 + d(n - 1) an = 4 + 3(n - 1) an = 4 + 3n - 3 an = 3n + 1

  28. Arithmetic Sequences Finally, use a1 and d to write and simplify explicit formula: an = a1 + d(n - 1) an = 4 + 3(n - 1) an = 4 + 3n - 3 an = 3n + 1

  29. Arithmetic Sequences Finally, use a1 and d to write and simplify explicit formula: an = a1 + d(n - 1) an = 4 + 3(n - 1) an = 4 + 3n - 3 an = 3n + 1

  30. Arithmetic Sequences Finally, use a1 and d to write and simplify explicit formula: an = a1 + d(n - 1) an = 4 + 3(n - 1) an = 4 + 3n - 3 an = 3n + 1 Remember...we need a1 and d.

  31. Arithmetic Sequences Finally, use a1 and d to write and simplify explicit formula: an = a1 + d(n - 1) an = 4 + 3(n - 1) an = 4 + 3n - 3 an = 3n + 1 12 - 5 = 7 -93 - -44 = -49 -49/7 = -7 First find the value of d. d = -7

  32. Arithmetic Sequences Finally, use a1 and d to write and simplify explicit formula: an = a1 + d(n - 1) an = 4 + 3(n - 1) an = 4 + 3n - 3 an = 3n + 1 12 - 5 = 7 -93 - -44 = -49 -49/7 = -7 Subtract the term numbers. d = -7

  33. Arithmetic Sequences Finally, use a1 and d to write and simplify explicit formula: an = a1 + d(n - 1) an = 4 + 3(n - 1) an = 4 + 3n - 3 an = 3n + 1 12 - 5 = 7 -93 - -44 = -49 -49/7 = -7 d = -7 Subtract the term numbers.

  34. Arithmetic Sequences Finally, use a1 and d to write and simplify explicit formula: an = a1 + d(n - 1) an = 4 + 3(n - 1) an = 4 + 3n - 3 an = 3n + 1 12 - 5 = 7 -93 - -44 = -49 -49/7 = -7 d = -7 Subtract the term values.

  35. Arithmetic Sequences Finally, use a1 and d to write and simplify explicit formula: an = a1 + d(n - 1) an = 4 + 3(n - 1) an = 4 + 3n - 3 an = 3n + 1 12 - 5 = 7 -93 - -44 = -49 -49/7 = -7 d = -7 Subtract the term values.

  36. Arithmetic Sequences Finally, use a1 and d to write and simplify explicit formula: an = a1 + d(n - 1) an = 4 + 3(n - 1) an = 4 + 3n - 3 an = 3n + 1 12 - 5 = 7 -93 - -44 = -49 -49/7 = -7 d = -7 Divide the results.

  37. Arithmetic Sequences Finally, use a1 and d to write and simplify explicit formula: an = a1 + d(n - 1) an = 4 + 3(n - 1) an = 4 + 3n - 3 an = 3n + 1 12 - 5 = 7 -93 - -44 = -49 -49/7 = -7 d = -7

  38. Arithmetic Sequences Finally, use a1 and d to write and simplify explicit formula: an = a1 + d(n - 1) an = 4 + 3(n - 1) an = 4 + 3n - 3 an = 3n + 1 an = a1 + d(n - 1) -44 = a1 + -7 (5 - 1) -44 = a1 + -7(4) -44 = a1 + -28 -16 = a1 Use one of the points and the value of d to solve for a.

  39. Arithmetic Sequences Finally, use a1 and d to write and simplify explicit formula: an = a1 + d(n - 1) an = 4 + 3(n - 1) an = 4 + 3n - 3 an = 3n + 1 an = a1 + d(n - 1) -44 = a1 + -7 (5 - 1) -44 = a1 + -7(4) -44 = a1 + -28 -16 = a1 Use one of the points and the value of d to solve for a.

  40. Arithmetic Sequences Finally, use a1 and d to write and simplify explicit formula: an = a1 + d(n - 1) an = 4 + 3(n - 1) an = 4 + 3n - 3 an = 3n + 1 an = a1 + d(n - 1) -44 = a1 + -7 (5 - 1) -44 = a1 + -7(4) -44 = a1 + -28 -16 = a1 Simplify.

  41. Arithmetic Sequences Finally, use a1 and d to write and simplify explicit formula: an = a1 + d(n - 1) an = 4 + 3(n - 1) an = 4 + 3n - 3 an = 3n + 1 an = a1 + d(n - 1) -44 = a1 + -7 (5 - 1) -44 = a1 + -7(4) -44 = a1 + -28 -16 = a1 Simplify.

  42. Arithmetic Sequences Finally, use a1 and d to write and simplify explicit formula: an = a1 + d(n - 1) an = 4 + 3(n - 1) an = 4 + 3n - 3 an = 3n + 1 an = a1 + d(n - 1) -44 = a1 + -7 (5 - 1) -44 = a1 + -7(4) -44 = a1 + -28 -16 = a1 Finish solving the equation.

  43. Arithmetic Sequences Finally, use a1 and d to write and simplify explicit formula: an = a1 + d(n - 1) an = 4 + 3(n - 1) an = 4 + 3n - 3 an = 3n + 1 an = a1 + d(n - 1) -44 = a1 + -7 (5 - 1) -44 = a1 + -7(4) -44 = a1 + -28 -16 = a1

  44. Arithmetic Sequences Finally, use a1 and d to write and simplify explicit formula: an = a1 + d(n - 1) an = 4 + 3(n - 1) an = 4 + 3n - 3 an = 3n + 1 an = a1 + d(n - 1) an = -16 + -7(n - 1) an = -16 - 7n + 7 an = -7n - 9 Fill in the values of a1 and d.

  45. Arithmetic Sequences Finally, use a1 and d to write and simplify explicit formula: an = a1 + d(n - 1) an = 4 + 3(n - 1) an = 4 + 3n - 3 an = 3n + 1 an = a1 + d(n - 1) an = -16 + -7(n - 1) an = -16 - 7n + 7 an = -7n - 9 Fill in the values of a and d.

  46. Arithmetic Sequences Finally, use a1 and d to write and simplify explicit formula: an = a1 + d(n - 1) an = 4 + 3(n - 1) an = 4 + 3n - 3 an = 3n + 1 an = a1 + d(n - 1) an = -16 + -7(n - 1) an = -16 - 7n + 7 an = -7n - 9 Distribute.

  47. Arithmetic Sequences Finally, use a1 and d to write and simplify explicit formula: an = a1 + d(n - 1) an = 4 + 3(n - 1) an = 4 + 3n - 3 an = 3n + 1 an = a1 + d(n - 1) an = -16 + -7(n - 1) an = -16 - 7n + 7 an = -7n - 9 Simplify.

  48. New Concepts Topic: Arithmetic Sequences Quizizz: Click here for link

  49. Arithmetic Sequences Arithmetic Sequences Video (stop video at 7:00)

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