| |
| |
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. |
Find the arithmetic means of the sequence  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
3. |
What are the first three terms of the arithmetic series if a1 = -1,
an = -115, and Sn = -1160? |
| |
|
A. |
-1160, -1166, -1172 |
B. |
20, 14, 8 |
| |
|
C. |
-1, -7, -13 |
D. |
-115, -121, -127 |
| |
|
Hint |
|
| |
4. |
Find the next two terms of the geometric sequence 64, -32, 16, -8, . . . . |
| |
|
A. |
-16, -32 |
B. |
-4, 2 |
| |
|
C. |
16, -32 |
D. |
4, -2 |
| |
|
Hint |
|
| |
5. |
Write the first four terms of the geometric sequence in which a1 = -3 and r = -4. |
| |
|
A. |
3, 12, 48, 192 |
B. |
–3, -12, -48, -192 |
| |
|
C. |
3, -12, 48, -192 |
D. |
-3, 12, -48, 192 |
| |
|
Hint |
|
| |
6. |
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. |
| |
|
A. |
90 mm |
B. |
800 mm |
| |
|
C. |
1000 mm |
D. |
1200 mm |
| |
|
Hint |
|
| |
7. |
Find the first four terms of the sequence in which a1= -5 and
an+1 = an + 1. |
| |
|
A. |
-5, -4, -3, -2 |
B. |
–4, -3, -2, -1 |
| |
|
C. |
5, 4, 3, 2 |
D. |
4, 3, 2, 1 |
| |
|
Hint |
|
| |
8. |
Find the expansion of  . |
| |
|
A. |
 |
B. |
16a + a3 + 6a2 + 16a + 16 |
| |
|
C. |
a4 + 8a3 + 16a2 + 8a + 2 |
D. |
 |
| |
|
Hint |
|
| |
9. |
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? |
| |
|
A. |
$657.80 |
B. |
$667.80 |
| |
|
C. |
$652.60 |
D. |
$572 |
| |
|
Hint |
|
| |
10. |
Evaluate  . |
| |
|
A. |
3072 |
B. |
3069 |
| |
|
C. |
2047 |
D. |
6141 |
| |
|
Hint |
|
| |
11. |
Evaluate  . |
| |
|
A. |
6 |
B. |
7.5 |
| |
|
C. |
10.5 |
D. |
15 |
| |
|
Hint |
|
| |
12. |
Write the infinite geometric series in sigma notation if a1 = 3 and the sum is 6. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
13. |
What is an example of a recursive formula whose first three terms are 3, 6, and 9? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
14. |
Expand (4x + 2y)4. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
15. |
Which of the following is a counterexample to the statement 8k – 1 = 9r for all k, where k and r are integers? |
| |
|
A. |
83 – 1 = 511, 511 ÷ 9 = 56.8 |
B. |
8(8k) = 8(9r + 1) |
| |
|
C. |
(84 – 1) ÷ 9 = 455 |
D. |
8 = 9 – 1 |
| |
|
Hint |
|
| |
16. |
Which of the following supports the claim that –4 + x = 9? |
| |
|
A. |
x = 5 |
B. |
x is positive |
| |
|
C. |
x = –5 |
D. |
x is negative |
| |
|
Hint |
|
|
|