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?

Q. Which graph represents the sequence ?

Q. Which sequence is represented by the graph?

Q. The sequence *a*_{n} = (-1)^{n}n! is

increasing

decreasing

both increasing and decreasing

neither increasing nor decreasing

Q. The sequence has

an upper bound only

a lower bound only

both upper and lower bounds

neither upper nor lower bounds

Q. The sequence

is bounded and converges

is unbounded and converges

is bounded but diverges

is unbounded and diverges

Q. The sequence

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