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1. |
Find the 29th term in the arithmetic sequence -9, -4, 1, 6, ... . |
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A. |
136 |
B. |
126 |
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C. |
121 |
D. |
131 |
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Hint |
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2. |
If r = 2 and a7 = 576, what is the first term of the geometric sequence? |
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A. |
18 |
B. |
2.25 |
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C. |
9 |
D. |
4.5 |
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Hint |
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3. |
A coin is flipped six times. Find the number of possible sets of heads and tails that have at least 5 heads. |
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A. |
6 |
B. |
5 |
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C. |
7 |
D. |
1 |
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Hint |
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4. |
Find the middle term of the expansion of  . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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5. |
Use the first three terms of the trigonometric series to approximate the value of  to four decimal places. |
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A. |
0.0200 |
B. |
0.0408 |
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C. |
1.9800 |
D. |
-0.4665 |
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Hint |
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6. |
If 6 + 8 + 10 + ··· + (4 + 2n) = n(n + 5), which statement verifies that Sn is valid for n = 1? |
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A. |
6 + 8 + 10 = 3(3 + 5); 24 = 24 |
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B. |
6 = 1(1 + 5); 6 = 6 |
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C. |
6 + 8 = 2(2 + 5); 14 = 14 |
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D. |
6 + 8 + 10 + 12 = 4(4 + 5); 36 = 36 |
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Hint |
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7. |
For the equation 6 + 8 + 10 + ··· + (4 + 2n) = n(n + 5), which statement assumes that Sn is valid for n = k? |
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A. |
6 + 8 + 10 + ··· + (6 + 2k) = (k + 1)(k + 6) |
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B. |
6 + 8 + 10 + ··· + (6 + 2k) = k(k + 5) |
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C. |
6 + 8 + 10 + ··· + (8 + 2k) = (k + 1)(k + 6) |
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D. |
6 + 8 + 10 + ··· + (4 + 2k) = k(k + 5) |
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Hint |
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8. |
In a certain arithmetic sequence, a1 = -38, d = 7, and ak = 74. Find k. |
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A. |
6 |
B. |
16 |
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C. |
17 |
D. |
The sequence will never take on the value 74. |
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Hint |
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9. |
Find the sum of the first fourteen terms of the geometric series  Round to the nearest hundredth. |
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A. |
19.73 |
B. |
19.52 |
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C. |
2.81 |
D. |
19.64 |
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Hint |
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10. |
Find  |
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A. |
 |
B. |
The limit does not exist. |
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C. |
 |
D. |
 |
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Hint |
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11. |
Find the sum of the series -20 + 10 - 5 + … |
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A. |
 |
B. |
-15 |
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C. |
The sum does not exist. |
D. |
-40 |
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Hint |
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12. |
Write the general term of the series  |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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13. |
Which series is convergent? |
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A. |
 |
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B. |
 |
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C. |
 |
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D. |
 |
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Hint |
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14. |
Find the sum  . |
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A. |
The sum does not exist. |
B. |
8 |
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C. |
0 |
D. |
12 |
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Hint |
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15. |
Write the series  in sigma notation. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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16. |
Use the first four terms of the exponential series and a calculator to approximate the value of e0.28 to three decimal places. |
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A. |
1.33 |
B. |
0.33 |
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C. |
1.38 |
D. |
0.76 |
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Hint |
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17. |
Find the first three iterates of the function f(z) = z2 - 8 – 5I if the starting value is 2 - i. |
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A. |
-7 - 5i, -4 - 5i, 1 - 5i |
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B. |
-5 – 9i, -64 + 85i, -3137 – 10885i |
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C. |
-3 - 5i, 26 - 5i, 693 - 5i |
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D. |
-5 - 7i, -11i, 7 - 13i |
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Hint |
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18. |
Find the first two iterates of the function f (z) = z - 3 + 6i if the starting value is -22i. |
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A. |
-3 - 16i, -6 - 10i |
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B. |
-487 + 6i, 237130 - 5838i |
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C. |
-3 - 16I, -2 - 16I |
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D. |
-2 + 6I, -1 + 6I |
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Hint |
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