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1. |
Find the next four terms of the arithmetic sequence 16, 24, 32, . . . . |
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A. |
36, 40, 44, 48 |
B. |
35, 40, 45, 50 |
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C. |
40, 48, 56, 64 |
D. |
38, 44, 50, 56 |
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Hint |
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2. |
Find the 18th term of the sequence where a1 = 3 and d = 7. |
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A. |
136 |
B. |
119 |
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C. |
122 |
D. |
129 |
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Hint |
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3. |
 |
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A. |
7 + 8 + 9 + 10; 34 |
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B. |
–7 + 8 + (-9) + 10; 2 |
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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. |
Find the sum of the geometric series –5, -10, -20, -40, . . . for 7 terms. |
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A. |
-599 |
B. |
-527 |
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C. |
-635 |
D. |
-689 |
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Hint |
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5. |
If it exists, what is the sum of the infinite series  |
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A. |
 |
B. |
The sum does not exist. |
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C. |
20 |
D. |
 |
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Hint |
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6. |
Simplify  . |
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A. |
n |
B. |
n + 1 |
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C. |
 |
D. |
n + 1 |
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Hint |
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7. |
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. |
$652.60 |
B. |
$667.80 |
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C. |
$657.80 |
D. |
$572 |
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Hint |
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8. |
Write an equation for the nth term of the geometric sequence 5, 15, 45, 135, …. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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9. |
Write an equation for the nth term of the geometric sequence 7, 6,  ,  , …. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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10. |
Find a1 in a geometric series for which S12 = 3071.25 and r = 2. |
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A. |
 |
B. |
 |
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C. |
3 |
D. |
 |
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Hint |
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11. |
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. |
100 |
B. |
10 |
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C. |
1000 |
D. |
 |
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Hint |
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12. |
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. |
3 + an -1 |
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C. |
3n |
D. |
3an-1 |
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Hint |
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13. |
What is the 21st iterate of the function  if x0 = 3. |
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A. |
–1 |
B. |
3 |
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C. |
–19 |
D. |
–3 |
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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. |
63t2u5 |
D. |
5103t5u2 |
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Hint |
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15. |
Which of the following supports the claim that –4 + x = 9? |
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A. |
x is negative |
B. |
x is positive |
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C. |
x = –5 |
D. |
x = 5 |
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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 integers |
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C. |
positive integers |
D. |
all positive real numbers |
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Hint |
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