Solutions
Solutions to Try Its
1. The sequence is arithmetic. The common difference is . 2. The sequence is not arithmetic because . 3. 4. 5. 6. 7. There are 11 terms in the sequence. 8. The formula is , and it will take her 42 minutes.Solutions to Odd-Numbered Exercises
1. A sequence where each successive term of the sequence increases (or decreases) by a constant value. 3. We find whether the difference between all consecutive terms is the same. This is the same as saying that the sequence has a common difference. 5. Both arithmetic sequences and linear functions have a constant rate of change. They are different because their domains are not the same; linear functions are defined for all real numbers, and arithmetic sequences are defined for natural numbers or a subset of the natural numbers. 7. The common difference is 9. The sequence is not arithmetic because . 11. 13. 15. 17. 19. 21. 23. 25. 27. 29. 31. 33. 35. 37. 39. 41. First five terms: . 43. 45. 47. 49. 51. 53. There are 10 terms in the sequence. 55. There are 6 terms in the sequence. 57. The graph does not represent an arithmetic sequence. 59.![Graph of a scattered plot with labeled points: (1, 9), (2, -1), (3, -11), (4, -21), and (5, -31). The x-axis is labeled n and the y-axis is labeled a_n.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/924/2015/11/25202534/CNX_Precalc_Figure_11_02_2042.jpg)
![Graph of a scattered plot with labeled points: (1, 1), (2, 4), (3, 7), (4, 10), and (5, 13). The x-axis is labeled n and the y-axis is labeled a_n.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/924/2015/11/25202536/CNX_Precalc_Figure_11_02_2062.jpg)
![Graph of a scattered plot with labeled points: (1, 5.5), (2, 6), (3, 6.5), (4, 7), and (5, 7.5). The x-axis is labeled n and the y-axis is labeled a_n.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/924/2015/11/25202537/CNX_Precalc_Figure_11_02_2072.jpg)