| |
| |
1. |
Find the next four terms of the arithmetic sequence 16, 24, 32, . . . . |
| |
|
A. |
36, 40, 44, 48 |
B. |
35, 40, 45, 50 |
| |
|
C. |
38, 44, 50, 56 |
D. |
40, 48, 56, 64 |
| |
|
Hint |
|
| |
2. |
What is Sn if a1 = 27.5, d = 1.5, and n = 35? |
| |
|
A. |
2152.5 |
B. |
1245 |
| |
|
C. |
98,175 |
D. |
1855 |
| |
|
Hint |
|
| |
3. |
 |
| |
|
A. |
7 – 8 + 9 – 10; -2 |
| |
|
B. |
7 + 8 + 9 + 10; 34 |
| |
|
C. |
–7 + (-8) + (-9) + (-10); -34 |
| |
|
D. |
–7 + 8 + (-9) + 10; 2 |
| |
|
Hint |
|
| |
4. |
What is the fifth term of a geometric sequence if a1 = 7 and r = 0.2? |
| |
|
A. |
0.28 |
B. |
0.0112 |
| |
|
C. |
1.4 |
D. |
5.6 |
| |
|
Hint |
|
| |
5. |
Find three geometric means between 3 and 48. Then select the graph that uses the x-axis for the number of the term and the y-axis for the term itself. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
6. |
Determine the sum of the geometric series for which a1 = -486,  , and an = -6. |
| |
|
A. |
325 |
B. |
322.6 |
| |
|
C. |
-726 |
D. |
732 |
| |
|
Hint |
|
| |
7. |
Find the sum of the infinite series  if it exists. |
| |
|
A. |
4 |
B. |
The sum does not exist. |
| |
|
C. |
1 |
D. |
8 |
| |
|
Hint |
|
| |
8. |
Determine the first five iterates of the function f(x) = 2x + 10 if the initial value is -12. |
| |
|
A. |
12, 14, -18, 26, -42 |
B. |
12, -14, -18, -26, -42 |
| |
|
C. |
–14, -18, -26, -42, -74 |
D. |
–12, -14, -18, -26, -42 |
| |
|
Hint |
|
| |
9. |
Simplify  . |
| |
|
A. |
n + 1 |
B. |
n + 1 |
| |
|
C. |
n |
D. |
 |
| |
|
Hint |
|
| |
10. |
Find the expansion of  . |
| |
|
A. |
16a + a3 + 6a2 + 16a + 16 |
B. |
a4 + 8a3 + 16a2 + 8a + 2 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
11. |
What is the eleventh term of an arithmetic sequence in which a1 = 3 and d = 6? |
| |
|
A. |
36 |
B. |
63 |
| |
|
C. |
39 |
D. |
69 |
| |
|
Hint |
|
| |
12. |
Evaluate  . |
| |
|
A. |
6 |
B. |
7.5 |
| |
|
C. |
15 |
D. |
10.5 |
| |
|
Hint |
|
| |
13. |
Write  as a fraction. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
14. |
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? |
| |
|
A. |
1620 |
B. |
150 |
| |
|
C. |
420 |
D. |
1570 |
| |
|
Hint |
|
| |
15. |
Which of the following is a counterexample to the statement that all dogs go to heaven? |
| |
|
A. |
All people go to heaven. |
B. |
No people go to heaven. |
| |
|
C. |
Ricky's dogs went to heaven. |
D. |
My dog did not go to heaven. |
| |
|
Hint |
|
| |
16. |
Which of the following is a counterexample to the statement 8p – 3 is prime? |
| |
|
A. |
none of the above |
B. |
p = 2 |
| |
|
C. |
p = 4 |
D. |
p = 3 |
| |
|
Hint |
|
|
|