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1. |
What are the next four terms of the arithmetic sequence
122, 111, 100, . . . ? |
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A. |
89, 78, 67, 56 |
B. |
92, 88, 84, 80 |
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C. |
94, 88, 82, 76 |
D. |
95, 90, 85, 80 |
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Hint |
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2. |
What are the arithmetic means of the sequence 31, ___, ___, ___, 3? |
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A. |
24, 17, 10 |
B. |
38, 45, 52 |
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C. |
28, 20, 12 |
D. |
25, 20, 15 |
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Hint |
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3. |
 |
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A. |
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10; 55 |
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B. |
10 + 1 + 2 + 3 + 4 + 5; 25 |
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C. |
10 + 20 + 30 + 40 + 50; 150 |
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D. |
11 + 12 + 13 + 14 + 15; 65 |
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Hint |
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4. |
 |
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A. |
–7 + (-8) + (-9) + (-10); -34 |
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B. |
7 – 8 + 9 – 10; -2 |
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C. |
–7 + 8 + (-9) + 10; 2 |
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D. |
7 + 8 + 9 + 10; 34 |
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Hint |
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5. |
Find the next two terms of the geometric sequence 64, -32, 16, -8, . . . . |
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A. |
-4, 2 |
B. |
16, -32 |
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C. |
4, -2 |
D. |
-16, -32 |
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Hint |
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6. |
What is the sum of the first eight terms of the geometric series for which a1 = -4 and r = -2? |
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A. |
1024 |
B. |
256 |
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C. |
1020 |
D. |
340 |
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Hint |
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7. |
Identify a1 in a geometric series for which S8 = 42.5 and r = -0.5. |
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A. |
1.5 |
B. |
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C. |
64 |
D. |
63.75 |
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Hint |
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8. |
 |
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A. |
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B. |
28 |
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C. |
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D. |
The sum does not exist. |
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Hint |
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9. |
Express  as a rational number of the 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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10. |
Juanita started a savings account with the $200 she received for her birthday. The bank pays 4% interest compounded annually. Find the balance in the account after 4 years. Round the answer to the nearest dollar. |
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A. |
$208 |
B. |
$216 |
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C. |
$225 |
D. |
$234 |
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Hint |
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11. |
Find the expansion of  . |
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A. |
 |
B. |
16a + a3 + 6a2 + 16a + 16 |
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C. |
a4 + 8a3 + 16a2 + 8a + 2 |
D. |
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Hint |
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12. |
Write an equation for the nth term of the geometric sequence 7, 6,  ,  , …. |
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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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13. |
Which of the following is not a recursive formula? |
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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. |
Which of the following is an example of an expression whose seventh term in its binomial expansion is 1716x7y6? |
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A. |
(x + y)13 |
B. |
(2x + y)11 |
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C. |
(x + y)14 |
D. |
(x + 3y)12 |
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Hint |
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15. |
Which of the following is a counterexample to the statement 8k – 1 = 9r for all k, where k and r are integers? |
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A. |
(84 – 1) ÷ 9 = 455 |
B. |
83 – 1 = 511, 511 ÷ 9 = 56.8 |
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C. |
8(8k) = 8(9r + 1) |
D. |
8 = 9 – 1 |
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Hint |
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16. |
Mathematical induction proves statements about which of the following? |
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A. |
all integers |
B. |
all positive real numbers |
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C. |
positive integers |
D. |
all real numbers |
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Hint |
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