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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. |
95, 90, 85, 80 |
D. |
94, 88, 82, 76 |
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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. |
25, 20, 15 |
D. |
28, 20, 12 |
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Hint |
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3. |
Determine the sum of an arithmetic series where n = 45, a1 = 14.3, and an = 80.3. |
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A. |
3613.5 |
B. |
2128.5 |
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C. |
3627.8 |
D. |
4257 |
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Hint |
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4. |
What is Sn if a1 = 27.5, d = 1.5, and n = 35? |
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A. |
2152.5 |
B. |
1855 |
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C. |
1245 |
D. |
98,175 |
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Hint |
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5. |
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. |
340 |
B. |
1020 |
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C. |
256 |
D. |
1024 |
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Hint |
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6. |
Find the sum of the geometric series –5, -10, -20, -40, . . . for 7 terms. |
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A. |
-599 |
B. |
-689 |
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C. |
-635 |
D. |
-527 |
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Hint |
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7. |
 |
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A. |
The sum does not exist. |
B. |
28 |
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C. |
 |
D. |
 |
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Hint |
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8. |
What are the first six terms of the sequence in which a1= 7 and
an+1= an - 3? |
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A. |
7, 4, 1, -2, -5, -8 |
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B. |
7, -3, 4, 1, 2, -1 |
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C. |
1, 2, 7, 9, 12, 17 |
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D. |
–3, 7, -8, -2, -5, -8 |
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Hint |
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9. |
Expand (a + 2b)4. |
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A. |
a4 + 8a3b + 24a2b2 + 32ab3 + 16b4 |
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B. |
a4 + 8a3b + 24a2b2 + 4ab3 + b4 |
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C. |
a4 + 8a3b + 24a2b2 + 8ab3 + b4 |
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D. |
a4 + 4a3b + 12a2b2 + 8ab3 + b4 |
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Hint |
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10. |
Which of the following is not a geometric sequence? |
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A. |
3, 6, 12, 24, … |
B. |
1, 4, 16, 64 |
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C. |
4, 2, 1,  , … |
D. |
6, 4 , 3, 1 , … |
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Hint |
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11. |
What is the ninth term of a geometric sequence if the third term is 36 and the fourth term is 72? |
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A. |
108 |
B. |
432 |
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C. |
2304 |
D. |
4608 |
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Hint |
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12. |
What is the value of r in an infinite geometric series if a1 = 3 and the sum is 6? |
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A. |
|
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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13. |
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. |
1570 |
B. |
150 |
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C. |
1620 |
D. |
420 |
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Hint |
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14. |
Expand (4x + 2y)4. |
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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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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. |
Mathematical induction proves statements about which of the following? |
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A. |
positive integers |
B. |
all real numbers |
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C. |
all integers |
D. |
all positive real numbers |
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Hint |
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