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1. |
Find the next four terms in the arithmetic sequence -10, -6, -2, ... . |
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A. |
0, 4, 8, 12 |
B. |
6, 10, 14, 18 |
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C. |
2, 6, 10, 14 |
D. |
1, 5, 9, 13 |
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Hint |
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2. |
Find the sum of the first 42 terms in the arithmetic series
5 + 10 + 15 + ··· + 210. |
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A. |
4505 |
B. |
4515 |
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C. |
4525 |
D. |
4510 |
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Hint |
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3. |
Find the fifth term of a geometric sequence whose first term is 6 and whose common ratio is  . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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4. |
Find the sum of the series 12 + 36 + 108 + ··· . |
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A. |
480 |
B. |
The sum does not exist. |
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C. |
156 |
D. |
7,000,000 |
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Hint |
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5. |
Which series is divergent? |
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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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6. |
 |
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A. |
42 |
B. |
13 |
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C. |
108 |
D. |
143 |
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Hint |
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7. |
Write  in exponential form. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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8. |
Bob has a savings account that has an annual yield of 5%. Find the balance of the account after each of the first two years if his initial balance is $4000. |
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A. |
$4200, $4410 |
B. |
$4200, $4400 |
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C. |
$4200, $4500 |
D. |
$4000, $4200 |
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Hint |
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9. |
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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10. |
Which of the following is not true about mathematical induction? |
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A. |
The first possible case is always n = 1. |
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B. |
It can be used to prove  . |
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C. |
Since Sn is valid for n = 1, it is valid for n = 2. Since it is valid for
n = 2, it is valid for n = 3, and so on, indefinitely. |
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D. |
Mathematical induction depends on a recursive process. |
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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. |
18 |
B. |
 |
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C. |
24 |
D. |
The sum does not exist. |
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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. |
Write the series  in sigma notation. |
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A. |
 |
B. |
 |
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C. |
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D. |
 |
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Hint |
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15. |
Use Pascal's Triangle or the Binomial Theorem to expand
(3x - 2y)5. |
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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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16. |
Find the third term of the expansion of (6s + 2t)4. |
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A. |
72s2t2 |
B. |
864s2t2 |
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C. |
144s2st2 |
D. |
6s2t2 |
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Hint |
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17. |
Write  in exponential form. |
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A. |
 |
B. |
 |
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C. |
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D. |
 |
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Hint |
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18. |
Which statement would be most logically proven using mathematical induction. |
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A. |
When two parallel lines are cut by a transversal, opposite interior angles are congruent. |
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B. |
The series  converges. |
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C. |
Every polynomial has at least one complex root. |
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D. |
 for all integers n |
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Hint |
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