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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. |
0, 4, 8, 12 |
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C. |
1, 5, 9, 13 |
D. |
6, 10, 14, 18 |
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Hint |
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2. |
Determine the common ratio in the sequence  . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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3. |
Find the sum of the first six terms of the geometric series  . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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4. |
Find  . |
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A. |
5 |
B. |
0 |
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C. |
does not exist |
D. |
7 |
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Hint |
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5. |
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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6. |
 |
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A. |
143 |
B. |
13 |
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C. |
42 |
D. |
108 |
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Hint |
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7. |
0!=_____? |
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A. |
1 |
B. |
undefined |
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C. |
 |
D. |
0 |
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Hint |
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8. |
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. |
7 |
B. |
5 |
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C. |
6 |
D. |
1 |
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Hint |
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9. |
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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10. |
Use the first three terms of the exponential series and a calculator to approximate the value of e1.85 to the nearest hundredth. |
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A. |
6.36 |
B. |
5.62 |
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C. |
4.56 |
D. |
2.85 |
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Hint |
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11. |
The Verhulst population model describing the population of antelope in an area is pn + 1 = pn + 1.75pn(1 - pn). The maximum population sustainable in the area is 60, and the current population is 24. Find the population of the antelope after the first year only. |
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A. |
49 |
B. |
46 |
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C. |
25 |
D. |
20 |
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Hint |
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12. |
Find the first four iterates of the function f(x) = x3 if the initial value is
x0 = -1. |
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A. |
-1, 1, -1, 1 |
B. |
1, -1, 1, -1 |
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C. |
-1, -1, -1, -1 |
D. |
1, 1, 1, 1 |
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Hint |
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13. |
Which statement is not true? |
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A. |
7n + 2n is divisible by 9 for all positive integral values of n. |
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B. |
6n - 1 is divisible by 5 for all positive integral values of n. |
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C. |
7n - 2n is divisible by 5 for all positive integral values of n. |
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D. |
5n - 1 is divisible by 4 for all positive integral values of n. |
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Hint |
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14. |
If a1, a2, …, an is an arithmetic sequence, then a1 + a2 + … + an is _____________. |
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A. |
a different arithmetic sequence |
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B. |
the arithmetic mean |
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C. |
a recursive formula |
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D. |
an arithmetic series |
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Hint |
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15. |
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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16. |
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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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. |
0.8453 |
B. |
0.866 |
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C. |
0.8663 |
D. |
1.2491 |
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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. |
Every polynomial has at least one complex root. |
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B. |
 for all integers n |
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C. |
When two parallel lines are cut by a transversal, opposite interior angles are congruent. |
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D. |
The series  converges. |
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Hint |
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