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1. |
Find the arithmetic means of the sequence  |
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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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2. |
What are the first three terms of the arithmetic series if a1 = -1,
an = -115, and Sn = -1160? |
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A. |
-1160, -1166, -1172 |
B. |
20, 14, 8 |
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C. |
-115, -121, -127 |
D. |
-1, -7, -13 |
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Hint |
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3. |
 |
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A. |
860 |
B. |
838.5 |
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C. |
430 |
D. |
820 |
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Hint |
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4. |
Determine the sum of the geometric series for which a1 = -486,  , and an = -6. |
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A. |
322.6 |
B. |
325 |
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C. |
-726 |
D. |
732 |
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Hint |
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5. |
The length of the arc of the swing of a pendulum is 120 mm. If the length of the arc of each succeeding swing is decreased by 10%, find the total distance the pendulum travels before it stops. |
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A. |
1000 mm |
B. |
800 mm |
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C. |
1200 mm |
D. |
90 mm |
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Hint |
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6. |
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. |
$208 |
B. |
$225 |
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C. |
$234 |
D. |
$216 |
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Hint |
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7. |
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 + 8ab3 + b4 |
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D. |
a4 + 8a3b + 24a2b2 + 4ab3 + b4 |
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Hint |
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8. |
What is the equation of an arithmetic sequence in which a1 = 3 and d = 6? |
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A. |
an = 6 + 3n |
B. |
an = 3 + 3n |
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C. |
an = –3 + 6n |
D. |
an = 3 + 6n |
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Hint |
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9. |
Find the eighth term of a geometric sequence for which a3 = 98 and r = 7. |
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A. |
11,529,602 |
B. |
1,647,086 |
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C. |
5,764,801 |
D. |
823,543 |
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Hint |
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10. |
Write an equation for the nth term of the geometric sequence 7, 6,  ,  , …. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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11. |
Evaluate  . |
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A. |
6 |
B. |
7.5 |
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C. |
15 |
D. |
10.5 |
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Hint |
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12. |
Write  as a fraction. |
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A. |
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B. |
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C. |
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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. |
5 + 3n |
B. |
3n |
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C. |
3an-1 |
D. |
3 + an -1 |
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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. |
Which of the following is not always a step in mathematical induction? |
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A. |
Prove true for some integer n. |
B. |
Add (k + 1)2 to each side. |
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C. |
Prove true for n + 1. |
D. |
Assume true for a positive integer k. |
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Hint |
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16. |
Mathematical induction proves statements about which of the following? |
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A. |
all real numbers |
B. |
all positive real numbers |
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C. |
all integers |
D. |
positive integers |
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Hint |
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