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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. |
95, 90, 85, 80 |
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C. |
94, 88, 82, 76 |
D. |
92, 88, 84, 80 |
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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. |
3613.5 |
B. |
4257 |
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C. |
3627.8 |
D. |
2128.5 |
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Hint |
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3. |
 |
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A. |
7 – 8 + 9 – 10; -2 |
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B. |
7 + 8 + 9 + 10; 34 |
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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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4. |
Write the first four terms of the geometric sequence in which a1 = -3 and r = -4. |
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A. |
3, -12, 48, -192 |
B. |
3, 12, 48, 192 |
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C. |
–3, -12, -48, -192 |
D. |
-3, 12, -48, 192 |
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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. |
256 |
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C. |
1020 |
D. |
1024 |
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Hint |
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6. |
 |
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A. |
28 |
B. |
The sum does not exist. |
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C. |
 |
D. |
 |
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Hint |
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7. |
What is the eleventh term of an arithmetic sequence in which a1 = 3 and d = 6? |
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A. |
69 |
B. |
36 |
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C. |
63 |
D. |
39 |
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Hint |
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8. |
Which of the following is not a geometric sequence? |
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A. |
1, 4, 16, 64 |
B. |
3, 6, 12, 24, … |
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C. |
4, 2, 1,  , … |
D. |
6, 4 , 3, 1 , … |
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Hint |
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9. |
Find the sum of a geometric series for which a1 = 23,328, an = 3, and r =  . |
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A. |
27,993 |
B. |
27,990 |
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C. |
23,327 |
D. |
19,440 |
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Hint |
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10. |
Write the infinite geometric series in sigma notation if a1 = 3 and the sum is 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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11. |
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. |
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D. |
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Hint |
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12. |
What is the 21st iterate of the function  if x0 = 3. |
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A. |
–19 |
B. |
–3 |
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C. |
3 |
D. |
–1 |
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Hint |
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13. |
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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14. |
What is the sixth term in the expansion of (t + 3u)7? |
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A. |
5103t2u5 |
B. |
63t5u2 |
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C. |
5103t5u2 |
D. |
63t2u5 |
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Hint |
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15. |
Mathematical induction proves statements about which of the following? |
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A. |
all integers |
B. |
positive integers |
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C. |
all real numbers |
D. |
all positive real numbers |
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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 = 4 |
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C. |
p = 2 |
D. |
none of the above |
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Hint |
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