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1. |
What are the arithmetic means of the sequence 31, ___, ___, ___, 3? |
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A. |
24, 17, 10 |
B. |
25, 20, 15 |
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C. |
38, 45, 52 |
D. |
28, 20, 12 |
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Hint |
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2. |
What are the first three terms of the arithmetic series if a1 = -1,
an = -115, and Sn = -1160? |
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A. |
-1, -7, -13 |
B. |
20, 14, 8 |
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C. |
-1160, -1166, -1172 |
D. |
-115, -121, -127 |
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Hint |
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3. |
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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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. |
14 |
B. |
30 |
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C. |
62 |
D. |
126 |
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Hint |
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5. |
Determine the sum of the geometric series for which a1 = -486,  , and an = -6. |
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A. |
-726 |
B. |
325 |
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C. |
322.6 |
D. |
732 |
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Hint |
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6. |
 |
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A. |
 |
B. |
 |
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C. |
28 |
D. |
The sum does not exist. |
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Hint |
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7. |
Determine the first five iterates of the function f(x) = 2x + 10 if the initial value is -12. |
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A. |
–12, -14, -18, -26, -42 |
B. |
12, 14, -18, 26, -42 |
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C. |
–14, -18, -26, -42, -74 |
D. |
12, -14, -18, -26, -42 |
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Hint |
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8. |
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. |
$234 |
B. |
$208 |
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C. |
$225 |
D. |
$216 |
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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 + 4a3b + 12a2b2 + 8ab3 + b4 |
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C. |
a4 + 8a3b + 24a2b2 + 4ab3 + b4 |
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D. |
a4 + 8a3b + 24a2b2 + 8ab3 + b4 |
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Hint |
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10. |
What is the eleventh term of an arithmetic sequence in which a1 = 3 and d = 6? |
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A. |
36 |
B. |
63 |
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C. |
69 |
D. |
39 |
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Hint |
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11. |
Chavez needs to buy gasoline every week for a year (52 weeks). The first week he spends $10.00. If the amount he spends increases by $0.10 every week, how much will he spend on gasoline this year? |
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A. |
$572 |
B. |
$657.80 |
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C. |
$652.60 |
D. |
$667.80 |
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Hint |
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12. |
Which of the following is not a geometric sequence? |
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A. |
4, 2, 1,  , … |
B. |
6, 4 , 3, 1 , … |
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C. |
1, 4, 16, 64 |
D. |
3, 6, 12, 24, … |
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Hint |
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13. |
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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14. |
Evaluate  |
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A. |
126 |
B. |
504 |
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C. |
1 |
D. |
252 |
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Hint |
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15. |
Which of the following is a counterexample to the statement that all dogs go to heaven? |
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A. |
My dog did not go to heaven. |
B. |
No people go to heaven. |
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C. |
Ricky's dogs went to heaven. |
D. |
All people go to heaven. |
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Hint |
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16. |
Which statement is a valid counterexample to the statement 6n + 6n is divisible by 12? |
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A. |
4 |
B. |
3 |
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C. |
1 |
D. |
2 |
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Hint |
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