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1. |
What are the next four terms of the arithmetic sequence
122, 111, 100, . . . ? |
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A. |
95, 90, 85, 80 |
B. |
94, 88, 82, 76 |
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C. |
89, 78, 67, 56 |
D. |
92, 88, 84, 80 |
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Hint |
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2. |
Write an equation for the nth term of the arithmetic sequence
18, 30, 42, 54, 66, . . . . |
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A. |
an = 18n + 12 |
B. |
an = 30n + 6 |
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C. |
an = n + 18 |
D. |
an = 12n + 6 |
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Hint |
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3. |
What is Sn if a1 = 27.5, d = 1.5, and n = 35? |
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A. |
98,175 |
B. |
1855 |
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C. |
1245 |
D. |
2152.5 |
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Hint |
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4. |
 |
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A. |
11 + 12 + 13 + 14 + 15; 65 |
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B. |
10 + 20 + 30 + 40 + 50; 150 |
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C. |
10 + 1 + 2 + 3 + 4 + 5; 25 |
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D. |
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10; 55 |
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Hint |
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5. |
Find a9 for the geometric sequence  . |
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A. |
16 |
B. |
4 |
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C. |
1 |
D. |
8 |
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Hint |
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6. |
Identify a1 in a geometric series for which S8 = 42.5 and r = -0.5. |
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A. |
63.75 |
B. |
1.5 |
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C. |
 |
D. |
64 |
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Hint |
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7. |
Find the sum of the infinite series  if it exists. |
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A. |
1 |
B. |
The sum does not exist. |
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C. |
4 |
D. |
8 |
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Hint |
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8. |
Express  as a rational number of the form  . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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9. |
Use Pascal's Triangle to expand (a - x)3. |
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A. |
a3 - 3a2x - 3ax2 - x3 |
B. |
a3 + 3a2x - 3ax2 + x3 |
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C. |
a3 + 3a2x + 3ax2 + x3 |
D. |
a3 - 3a2x + 3ax2 - x3 |
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Hint |
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10. |
Find the eighth term of a geometric sequence for which a3 = 98 and r = 7. |
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A. |
823,543 |
B. |
5,764,801 |
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C. |
1,647,086 |
D. |
11,529,602 |
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Hint |
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11. |
Find the sum of a geometric series for which a1 = 23,328, an = 3, and r =  . |
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A. |
27,993 |
B. |
23,327 |
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C. |
19,440 |
D. |
27,990 |
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Hint |
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12. |
What is an example of a recursive formula whose first three terms are 3, 6, and 9? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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13. |
Dave and Nick started out with a garden of 5 tomatoes. Each week, they grew three times as many tomatoes as the week before. How many tomatoes an do they grow in the nth week? |
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A. |
3 + an -1 |
B. |
5 + 3n |
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C. |
3an-1 |
D. |
3n |
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Hint |
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14. |
Evaluate  |
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A. |
252 |
B. |
1 |
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C. |
126 |
D. |
504 |
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Hint |
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15. |
Which statement is a valid counterexample to the statement 6n + 6n is divisible by 12? |
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A. |
4 |
B. |
1 |
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C. |
3 |
D. |
2 |
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Hint |
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16. |
Which of the following is a counterexample to the statement 8p – 3 is prime? |
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A. |
p = 3 |
B. |
p = 2 |
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C. |
p = 4 |
D. |
none of the above |
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Hint |
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