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1. |
Find the 29th term in the arithmetic sequence -9, -4, 1, 6, ... . |
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A. |
136 |
B. |
121 |
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C. |
131 |
D. |
126 |
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Hint |
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2. |
Find the first term in the arithmetic sequence for which a77 = -13 and  . |
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A. |
27 |
B. |
25 |
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C. |
26 |
D. |
28 |
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Hint |
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3. |
Write a sequence that has two geometric means between 7 and 448. |
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A. |
7, 30, 144, 448 |
B. |
7, 26, 110, 448 |
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C. |
7, 29, 113, 448 |
D. |
7, 28, 112, 448 |
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Hint |
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4. |
If r = 2 and a7 = 576, what is the first term of the geometric sequence? |
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A. |
9 |
B. |
4.5 |
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C. |
18 |
D. |
2.25 |
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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. |
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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8. |
 |
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A. |
 |
B. |
4 |
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C. |
 |
D. |
 |
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Hint |
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9. |
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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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. |
4.56 |
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C. |
2.85 |
D. |
5.62 |
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Hint |
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11. |
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, $4500 |
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C. |
$4200, $4400 |
D. |
$4200, $4410 |
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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. |
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(k + 5) |
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B. |
6 + 8 + 10 + ··· + (4 + 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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14. |
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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15. |
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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16. |
Which row of Pascal's Triangle would be used to expand the binomial
(a + b)8? |
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A. |
1 9 36 84 126 126 84 36 9 1 |
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B. |
1 8 28 56 70 56 28 8 1 |
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C. |
1 9 25 49 81 49 25 9 1 |
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D. |
1 8 27 64 125 64 27 8 1 |
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Hint |
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17. |
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. |
21 |
B. |
35 |
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C. |
64 |
D. |
163 |
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Hint |
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18. |
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. |
0.866 |
B. |
0.8663 |
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C. |
0.8453 |
D. |
1.2491 |
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Hint |
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