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1. |
Find the sum of the first 42 terms in the arithmetic series
5 + 10 + 15 + ··· + 210. |
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A. |
4515 |
B. |
4510 |
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C. |
4505 |
D. |
4525 |
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Hint |
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2. |
Find n for a series for which a1 = 9, d = 4.5, and Sn = 40.5. |
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A. |
6 |
B. |
3 |
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C. |
5 |
D. |
4 |
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Hint |
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3. |
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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4. |
Write a sequence that has one geometric mean between  and 21. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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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. |
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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7. |
0!=_____? |
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A. |
0 |
B. |
 |
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C. |
undefined |
D. |
1 |
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Hint |
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8. |
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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9. |
Which is the Fibonacci sequence? |
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A. |
1, 1, 2, 3, 5, 8, 13, ... |
B. |
2, -2, 2, -2, 2, -2, ... |
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C. |
0, 1, 3, 7, 15, 33, ... |
D. |
 |
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Hint |
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10. |
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. |
$4000, $4200 |
B. |
$4200, $4410 |
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C. |
$4200, $4500 |
D. |
$4200, $4400 |
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Hint |
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11. |
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, 10 + i |
B. |
4i, 7i |
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C. |
4 + i, 7 + i |
D. |
7 + i, 10 + i |
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Hint |
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12. |
Which statement is not true? |
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A. |
6n - 1 is divisible by 5 for all positive integral values of n. |
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B. |
7n + 2n is divisible by 9 for all positive integral values of n. |
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C. |
5n - 1 is divisible by 4 for all positive integral values of n. |
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D. |
7n - 2n is divisible by 5 for all positive integral values of n. |
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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. |
Find the sum  . |
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A. |
105 |
B. |
93 |
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C. |
108 |
D. |
33 |
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Hint |
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16. |
Rachel shoots seven free throws. Each free throw either goes in or does not. Find the number of possible combinations of free throws such that at least four go in. |
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A. |
163 |
B. |
35 |
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C. |
64 |
D. |
21 |
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Hint |
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17. |
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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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. |
The series  converges. |
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C. |
When two parallel lines are cut by a transversal, opposite interior angles are congruent. |
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D. |
 for all integers n |
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Hint |
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