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Practice and Applications

5. 81
7. $\frac{4}{3125}$ $\frac{4}{3125}$
9. 66.5
11. $\frac{16}{243}$ $\frac{16}{243}$
13. $\frac{195}{2}$ $\frac{195}{2}$
15. $\frac{5461}{512}$ $\frac{5461}{512}$
17. 81
19. 32
21. $- 15$ $- 15$
23. $- 0.25$ $- 0.25$
25. 186
27. 2.7
29. 51
31. $\frac{1}{33}$ $\frac{1}{33}$
33. $\frac{4}{55}$ $\frac{4}{55}$
35. $x^{4} - 20 x^{3} + 150 x^{2} - 500 x + 625$ $x^{4} - 20 x^{3} + 150 x^{2} - 500 x + 625$
37. $x^{10} + 20 x^{8} + 160 x^{6} + 640 x^{4} + 1280 x^{2} + 1024$ $x^{10} + 20 x^{8} + 160 x^{6} + 640 x^{4} + 1280 x^{2} + 1024$
39. $a^{10} + 30 a^{9} e + 405 a^{8} e^{2} + 3240 a^{7} e^{3} + \dots$ $a^{10} + 30 a^{9} e + 405 a^{8} e^{2} + 3240 a^{7} e^{3} + \dots$
41. $p^{18} - \frac{3}{2} p^{16} q + p^{14} q^{2} - \frac{7}{18} p^{12} q^{3} + \dots$ $p^{18} - \frac{3}{2} p^{16} q + p^{14} q^{2} - \frac{7}{18} p^{12} q^{3} + \dots$
43. $1 + 12 x + 66 x^{2} + 220 x^{3} + \dots$ $1 + 12 x + 66 x^{2} + 220 x^{3} + \dots$
45. $1 + \frac{1}{2} x^{2} - \frac{1}{8} x^{4} + \frac{1}{16} x^{6} - \dots$ $1 + \frac{1}{2} x^{2} - \frac{1}{8} x^{4} + \frac{1}{16} x^{6} - \dots$
47. $1 - \frac{1}{2} a^{2} - \frac{1}{8} a^{4} - \frac{1}{16} a^{6} - \dots$ $1 - \frac{1}{2} a^{2} - \frac{1}{8} a^{4} - \frac{1}{16} a^{6} - \dots$
49. $\frac{1}{8} + \frac{3}{4} x + 3 x^{2} + 10 x^{3} + \dots$ $\frac{1}{8} + \frac{3}{4} x + 3 x^{2} + 10 x^{3} + \dots$
51. 1,001,000
53. $4 b - 3 a$ $4 b - 3 a$
55. No
57. $a_{n} = - 3 n - 2$ $a_{n} = - 3 n - 2$
59. 0.7156
61. 5.475
63. 81
65. 3, $- \frac{1}{2}$ $- \frac{1}{2}$
67. 11th
69. 12.6 mm
71. 302.9 in.
73. $4700
75. $4.4 \times 10^{9} in . = 69,000 mi$ $4.4 \times 10^{9} in . = 69,000 mi$
77. 624 ft
79. 100 cm
81. $47,340.80
83. $6.40
85. $4.0 ° C$ $4.0 ° C$
87. $1 + \frac{1}{2} {a m}^{2} + \frac{1}{8} {a m}^{4}$ $1 + \frac{1}{2} {a m}^{2} + \frac{1}{8} {a m}^{4}$
89. 21 years
91. Five applications
93. 22 years
95. $S = \frac{n}{2} (a_{1} + a_{n}); a_{mid} = \frac{a_{1} + a_{n}}{2} = \frac{2 S}{2 n} = \frac{S}{n}$ $S = \frac{n}{2} (a_{1} + a_{n}); a_{mid} = \frac{a_{1} + a_{n}}{2} = \frac{2 S}{2 n} = \frac{S}{n}$
97. Yes; term to term ratios are equal.

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Table of Contents for Practice and Applications

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Table of Contents for
Practice and Applications