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1. |
Find the next four terms in the arithmetic sequence -10, -6, -2, ... . |
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A. |
2, 6, 10, 14 |
B. |
1, 5, 9, 13 |
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C. |
6, 10, 14, 18 |
D. |
0, 4, 8, 12 |
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Hint |
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2. |
Find the sum of the first 25 terms in the series -15 - 8 - 1 - ··· . |
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A. |
1711 |
B. |
1732 |
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C. |
1725 |
D. |
1718 |
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Hint |
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3. |
Which series is a convergent geometric series? |
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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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4. |
Express the series 14 + 23 + 34 + 47 + ··· + 167 using sigma notation. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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5. |
Use Pascal's triangle or the Binomial Theorem to expand (-x + 3y)3. |
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A. |
x3 - 9x2y + 27xy2 -27y3 |
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B. |
x3 - 3x2y + 3xy2 -y3 |
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C. |
-x3 + 3x2y - 3xy2 + y3 |
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D. |
-x3 + 9x2y - 27xy2 + 27y3 |
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Hint |
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6. |
Find the first two iterates of the function f(z) = z + 3, if the initial value is 1 + i. |
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A. |
4 + i, 7 + i |
B. |
7 + i, 10 + i |
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C. |
4 + i, 10 + i |
D. |
4i, 7i |
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Hint |
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7. |
Find the first two iterates of the function f(z) = z2 + 1, where the initial value is z0 = 1 + i. |
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A. |
1 + 2i, 2 - 4i |
B. |
1 + 2i, 2 + 4i |
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C. |
1 - 2i, -2 + 4i |
D. |
1 + 2i, -2 + 4i |
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Hint |
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8. |
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 + ··· + (4 + 2k) = k(k + 5) |
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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 + ··· + (6 + 2k) = (k + 1)(k + 6) |
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Hint |
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9. |
If the k term of Sk is 4 + 2k, find the (k + 1) term. |
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A. |
2k |
B. |
8 + 2k |
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C. |
k + 1 |
D. |
6 + 2k |
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Hint |
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10. |
Find the sum of the first fourteen terms of the geometric series  Round to the nearest hundredth. |
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A. |
2.81 |
B. |
19.64 |
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C. |
19.73 |
D. |
19.52 |
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Hint |
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11. |
Write a sequence that has two geometric means between -6 and  |
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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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12. |
Find the sum of the series  |
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A. |
The sum does not exist. |
B. |
24 |
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C. |
18 |
D. |
 |
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Hint |
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13. |
Write  as a fraction. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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14. |
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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15. |
Write the series 9 + 12 + 15 + 18 + … + 57 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. |
Find the third term of the expansion of (6s + 2t)4. |
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A. |
864s2t2 |
B. |
72s2t2 |
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C. |
144s2st2 |
D. |
6s2t2 |
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Hint |
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17. |
Use the first three terms of the trigonometric series and a calculator to approximate the value of  to four decimal places. |
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A. |
0.8663 |
B. |
0.8453 |
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C. |
1.2491 |
D. |
0.866 |
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Hint |
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18. |
Find ln (-2.89) to four decimal places. |
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A. |
 - 1.0613 |
B. |
+ 1.0613 |
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C. |
+ 0.6366 |
D. |
- 0.6366 |
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Hint |
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