Building Skills

9. Arithmetic; $a_{1} = 1, d = 1$ $a_{1} = 1, d = 1$
11. Arithmetic; $a_{1} = 2, d = 3$ $a_{1} = 2, d = 3$
13. Not arithmetic
15. Not arithmetic
17. Arithmetic: $a_{1} = 0.6, d = - 0.4$ $a_{1} = 0.6, d = - 0.4$
19. Arithmetic; $a_{1} = 8, d = 2$ $a_{1} = 8, d = 2$
21. Not arithmetic
23. $a_{n} = 3 n + 2$ $a_{n} = 3 n + 2$
25. $a_{n} = 16 - 5 n$ $a_{n} = 16 - 5 n$
27. $a_{n} = \frac{3 - n}{4}$ $a_{n} = \frac{3 - n}{4}$
29. $a_{n} = - \frac{2 n + 1}{5}$ $a_{n} = - \frac{2 n + 1}{5}$
31. $a_{n} = 3 n + e - 3$ $a_{n} = 3 n + e - 3$
33. $a_{n} = - 2 n + 1$ $a_{n} = - 2 n + 1$
35. $a_{n} = \frac{1}{2} n + 2$ $a_{n} = \frac{1}{2} n + 2$
37. $a_{n} = \frac{3}{4} n - 2$ $a_{n} = \frac{3}{4} n - 2$
39. $d = \frac{13}{2}, a_{n} = \frac{13}{2} n - 5$ $d = \frac{13}{2}, a_{n} = \frac{13}{2} n - 5$
41. $d = - 2, a_{n} = 22 - 2 n$ $d = - 2, a_{n} = 22 - 2 n$
43. $d = \frac{1}{2}, a_{n} = \frac{n + 11}{2}$ $d = \frac{1}{2}, a_{n} = \frac{n + 11}{2}$
45. 1275
47. 2500
49. 15,150
51. $- 208$ $- 208$
53. $\frac{121}{3}$ $\frac{121}{3}$
55. 6225
57. 460
59. 1340
61. $n = 38$ $n = 38$
63. $n = 25$ $n = 25$
65. $n = 25$ $n = 25$

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Table of Contents for Building Skills