1. 5 Minute Check

2. Find if d = 8, e = 3, f = 4 and g = -1. Complete in your notes. 1. 10 - e

3. 5 Minute Check Find if d = 8, e = 3, f = 4 and g = -1. Complete in your notes. 1. 10 - e 10 – 3 7

4. 5 Minute Check

6. Find if d = 8, e = 3, f = 4 and g = -1. Complete in your notes. 3. 4e²

7. 5 Minute Check Find if d = 8, e = 3, f = 4 and g = -1. Complete in your notes. 3. 4e² 4(3)² 4 · 9 36

8. 5 Minute Check Find if d = 8, e = 3, f = 4 and g = -1. Complete in your notes. 4. 8g - f

9. 5 Minute Check Find if d = 8, e = 3, f = 4 and g = -1. Complete in your notes. 4. 8g - f 8 · (-1) – 4 - 8 – 4 -12

10. Monday, May 11 Lesson 7.5.2 Sequences

11. Objective: To describe the relationships and extend terms in arithmetic sequences.

12. Sequences A sequence is an ordered list of numbers.

13. Sequences A sequence is an ordered list of numbers. Each number in a sequence is a called a term.

14. Sequences A sequence is an ordered list of numbers. Each number in a sequence is a called a term. In an arithmetic sequence, each term is found by adding the same number to the previous term.

15. Sequences Describe the relationship between the terms in the arithmetic sequence 8, 13, 18, 23, ….. Then write the next three terms.

16. Sequences Describe the relationship between the terms in the arithmetic sequence 8, 13, 18, 23, ….. Then write the next three terms. 8, 13, 18, 23,……. +5 +5 +5 Each term is found by adding 5 to the previous term. The next three terms are 28, 33, 38

17. Sequences Describe the relationship between the terms in the arithmetic sequence 0.4, 0.6, 0.8, 1.0, ….. Then write the next three terms.

18. Sequences Describe the relationship between the terms in the arithmetic sequence 0.4, 0.6, 0.8, 1.0, ….. Then write the next three terms. 0.4, 0.6, 0.8, 1.0, …. +.2 +.2 +.2 Each term is found by adding 0.2 to the previous term. The next three terms are 1.2, 1.4 1.6

19. Sequences Describe the relationship between the terms in the arithmetic sequence 0, 13, 26, 39, ….. Then write the next three terms.

20. Sequences Describe the relationship between the terms in the arithmetic sequence 0, 13, 26, 39, ….. Then write the next three terms. 1, 13, 26, 39, …. +13 +13 +13 Each term is found by adding 13 to the previous term. The next three terms are 52, 65, 78

21. Sequences Describe the relationship between the terms in the arithmetic sequence 1.0, 1.3, 1.6, 1.9, ….. Then write the next three terms.

22. Sequences Describe the relationship between the terms in the arithmetic sequence 1.0, 1.3, 1.6, 1.9, ….. Then write the next three terms. 1.0, 1.3, 1.6, 1.9, …. +.3 +.3 +.3 Each term is found by adding 0.3 to the previous term. The next three terms are 2.2, 2.5, 2.8

23. Sequences Describe the relationship between the terms in the arithmetic sequence 52, 49, 46, 43, ….. Then write the next three terms.

24. Sequences Describe the relationship between the terms in the arithmetic sequence 52, 49, 46, 43, ….. Then write the next three terms. 52, 49, 46, 43, …. -3 -3 -3 Each term is found by adding -3 to the previous term. The next three terms are 40, 37, 34

25. Sequences Describe the relationship between the terms in the arithmetic sequence 1,10,19,28, ….. Then write the next three terms.

26. Sequences Describe the relationship between the terms in the arithmetic sequence 1,10,19,28, ….. Then write the next three terms. 1,10,19,28, …. +9 +9 +9 Each term is found by adding 9 to the previous term. The next three terms are 37, 46, 55

27. Sequences Describe the relationship between the terms in the arithmetic sequence -45, -39, -33, ….. Then write the next three terms.

28. Sequences Describe the relationship between the terms in the arithmetic sequence -45, -39, -33, ….. Then write the next three terms. -45, -39, -33,, …. +6 +6 Each term is found by adding 6 to the previous term. The next three terms are -27, -21, -15

29. Sequences

31. In a sequence, each term has a specific position within the sequence. Consider the sequence 2, 4, 6, 8, …..

32. Sequences Notice that as the position number increases by 1, the value of the term increases by 2.

33. Sequences You can also write an algebraic expression to represent the relationship between any term in a sequence an its position in the sequence. What is the expression for this sequence?

34. Sequences You can also write an algebraic expression to represent the relationship between any term in a sequence an its position in the sequence. What is the expression for this sequence? 2n

35. Sequences The greeting cards that Meredith makes are sold in boxes at a gift store. The first week, the store sold 5 boxes. Each week the store sells five more boxes. The pattern continues. What is the algebraic expression to represent this situation? How many boxes will be sold at the end of the 100 th week?

36. Sequences The greeting cards that Meredith makes are sold in boxes at a gift store. The first week, the store sold 5 boxes. Each week the store sells five more boxes. The pattern continues. What is the algebraic expression to represent this situation? How many boxes will be sold at the end of the 100 th week? 5n After the 100 th week; 5 · 100 = 500 boxes

37. Sequences If the pattern continues, what algebraic expression can be used to represent the situation? How many circles will be in the 50 th figure?

38. Sequences If the pattern continues, what algebraic expression can be used to represent the situation? How many circles will be in the 50 th figure? 3n In the 50 th figure; 3 · 50 = 150

39. Sequences If the pattern continues, what algebraic expression can be used to represent the situation? How many circles will be in the 50 th figure?

40. Sequences If the pattern continues, what algebraic expression can be used to represent the situation? How many circles will be in the 50 th figure? 2n + 1 In the 50 th figure; 2 · 50 + 1 = 101

41. Sequences What is the 10 th term for the sequence below. 6, 12, 18, 24, ……

42. Sequences What is the 10 th term for the sequence below. Term 1 2 3 4 6, 12, 18, 24, …… 6n; when n = 10 60

43. Sequences What is the 20 th term for the sequence below. 14, 28, 42, 56, ……

44. Sequences What is the 20 th term for the sequence below. Term 1 2 3 4 14, 28, 42, 56, …… 14n; when n = 20 280

45. Sequences Hannah has a doll collection. The table shows the number of dolls she bought the first three years. Suppose the pattern continues, what algebraic expression can be used to represent the situation? How many dolls will collect during the 25 th year?

46. Sequences Hannah has a doll collection. The table shows the number of dolls she bought the first three years. Suppose the pattern continues, what algebraic expression can be used to represent the situation? How many dolls will collect during the 25 th year? 6n In the 25 h year; 6 · 25 = 150

47. Sequences Write an algebraic expression to represent the graph.

48. Sequences Write an algebraic expression to represent the graph. 3n

49. Sequences Write an algebraic expression to represent the graph.

50. Sequences Write an algebraic expression to represent the graph. x + 1 Or as an equation y = x + 1

51. Sequences Write an algebraic expression to represent the graph.

52. Sequences Write an algebraic expression to represent the graph. x + 5

53. Sequences Write an algebraic expression to represent the graph.

54. Sequences

55. Write an algebraic expression to represent the graph.

56. Sequences Write an algebraic expression to represent the graph. 3x - 1

57. Sequences Agenda Notes No Homework – Homework Practice 7.5.2 Due by the end of the period Circle all answers and show all work Chapter 7.5 Quiz Friday, May 15