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1. |
Find the 18th term of the sequence where a1 = 3 and d = 7. |
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A. |
122 |
B. |
119 |
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C. |
136 |
D. |
129 |
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Hint |
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2. |
Determine the sum of an arithmetic series where n = 45, a1 = 14.3, and an = 80.3. |
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A. |
3627.8 |
B. |
3613.5 |
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C. |
4257 |
D. |
2128.5 |
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Hint |
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3. |
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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4. |
Find the sum of the first five terms of the geometric series for which
a1 = 2 and r = 2. |
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A. |
126 |
B. |
30 |
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C. |
62 |
D. |
14 |
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Hint |
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5. |
Identify a1 in a geometric series for which S8 = 42.5 and r = -0.5. |
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A. |
63.75 |
B. |
64 |
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C. |
 |
D. |
1.5 |
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Hint |
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6. |
Which of the following is an arithmetic sequence that will include the number 62? |
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A. |
an = 2 + 5n |
B. |
an = 1 + 12n |
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C. |
an = 3 – 4n |
D. |
an = 3 + 4n |
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Hint |
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7. |
Which of the following is not a series? |
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A. |
5 + 7 + 9 + 11 + … |
B. |
6 – 3 – 3 – 3 – … |
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C. |
 |
D. |
8 + 2 + 2 + 2 + … |
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Hint |
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8. |
Find the eighth term of a geometric sequence for which a3 = 98 and r = 7. |
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A. |
823,543 |
B. |
1,647,086 |
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C. |
11,529,602 |
D. |
5,764,801 |
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Hint |
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9. |
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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10. |
In order to write  as a fraction, by what factor should we multiply S in order to obtain a second equation? |
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A. |
1000 |
B. |
10 |
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C. |
100 |
D. |
 |
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Hint |
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11. |
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. |
3n |
B. |
5 + 3n |
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C. |
3 + an -1 |
D. |
3an-1 |
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Hint |
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12. |
Cody and Earl started their first week with a garden of 20 tomatoes. Each week, they grew three times as many tomatoes as they had at their home. If they eat 10 tomatoes per week, how many tomatoes will be grown in the fifth week? |
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A. |
1620 |
B. |
150 |
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C. |
1570 |
D. |
420 |
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Hint |
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13. |
What is the sixth term in the expansion of (t + 3u)7? |
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A. |
63t5u2 |
B. |
5103t5u2 |
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C. |
5103t2u5 |
D. |
63t2u5 |
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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)14 |
B. |
(2x + y)11 |
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C. |
(x + y)13 |
D. |
(x + 3y)12 |
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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. |
2 |
B. |
4 |
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C. |
1 |
D. |
3 |
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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. |
none of the above |
B. |
p = 3 |
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C. |
p = 2 |
D. |
p = 4 |
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Hint |
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