Think you’ve got your head wrapped around Sequences? Put your knowledge to
the test. Good luck — the Stickman is counting on you!
Q. The following number line represents which sequence?
![](https://media1.shmoop.com/images/calculus/calc_sequence_quiz_3_latek_2.png)
![](https://media1.shmoop.com/images/calculus/calc_sequence_quiz_3_latek_3.png)
![](https://media1.shmoop.com/images/calculus/calc_sequence_quiz_3_latek_4.png)
![](https://media1.shmoop.com/images/calculus/calc_sequence_quiz_3_latek_5.png)
Q. Which graph represents the sequence
?
![](https://media1.shmoop.com/images/calculus/calc_sequence_quiz_3_latek_6.png)
![](https://media1.shmoop.com/images/calculus/calc_sequence_quiz_3_graphik_2.png)
![](https://media1.shmoop.com/images/calculus/calc_sequence_quiz_3_graphik_3.png)
![](https://media1.shmoop.com/images/calculus/calc_sequence_quiz_3_graphik_4.png)
![](https://media1.shmoop.com/images/calculus/calc_sequence_quiz_3_graphik_5.png)
Q. Which sequence is represented by the graph?
an = n
an = n2
![](https://media1.shmoop.com/images/calculus/calc_sequence_quiz_3_latek_7.png)
![](https://media1.shmoop.com/images/calculus/calc_sequence_quiz_3_latek_8.png)
Q. The sequence an = (-1)nn! is
increasing
decreasing
both increasing and decreasing
neither increasing nor decreasing
Q. The sequence
has
![](https://media1.shmoop.com/images/calculus/calc_sequence_quiz_3_latek_9.png)
an upper bound only
a lower bound only
both upper and lower bounds
neither upper nor lower bounds
Q. The sequence
![](https://media1.shmoop.com/images/calculus/calc_sequence_quiz_3_latek_10.png)
is bounded and converges
is unbounded and converges
is bounded but diverges
is unbounded and diverges
Q. The sequence
![](https://media1.shmoop.com/images/calculus/calc_sequence_quiz_3_latek_11.png)
diverges
converges to -1
converges to 0
converges to 2
Q. Which of the following statements are true?
(I) If a sequence is bounded then that sequence must converge.
(II) If a sequence converges then that sequence must be bounded.
(III) If a sequence is unbounded then that sequence must diverge.
(IV) If a sequence diverges then that sequence must be unbounded.
(I) and (III)
(I) and (IV)
(II) and (III)
(II) and (IV)
Q. Dan has $20 in the bank. He deposits $7 per week, so that after 1 week he has $27, after 2 weeks he has $34, etc. After how many weeks will he have $300?
39
40
41
42
Q. Lucy puts $200 in the bank at an interest rate of 4% per year. After one year she has 4% more money than she started with, after two years she has 4% more money than she did after one year, etc. How much money does she have after 20 years?
$405.16
$421.37
$438.22
$455.75