| |
| |
1. |
Find the first four terms of the sequence in which a1= -5 and
an+1 = an + 1. |
| |
|
A. |
5, 4, 3, 2 |
B. |
-5, -4, -3, -2 |
| |
|
C. |
4, 3, 2, 1 |
D. |
–4, -3, -2, -1 |
| |
|
Hint |
|
| |
2. |
What are the first six terms of the sequence in which a1= 7 and
an+1= an - 3? |
| |
|
A. |
7, 4, 1, -2, -5, -8 |
| |
|
B. |
7, -3, 4, 1, 2, -1 |
| |
|
C. |
1, 2, 7, 9, 12, 17 |
| |
|
D. |
–3, 7, -8, -2, -5, -8 |
| |
|
Hint |
|
| |
3. |
Find the first four iterates of the function f(x) = 7x + 2 if x0 = 3. |
| |
|
A. |
7, 12, 18, 36 |
B. |
3, 23, 47, 81 |
| |
|
C. |
23, 76, 114, 208 |
D. |
23, 163, 1143, 8003 |
| |
|
Hint |
|
| |
4. |
Which of the following is not a recursive formula? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
5. |
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? |
| |
|
A. |
3 + an -1 |
B. |
3n |
| |
|
C. |
3an-1 |
D. |
5 + 3n |
| |
|
Hint |
|
|
|