Question

Can I please get some help?


The following function defines a recursive sequence.
f(0) = -4

f(1) = 12

f(n) = -3•f(n -1) - 2•f(n - 2); for n > 1

Which of the following sequences is defined by this recursive function?


A) -4, 12, -28, 60, …
B) -4, -12, -28, -60, …
C) -4, 12, -18, 54, …
D) -4, 12, -18, -54, …

Answer 1

A

Answer 2

Thank You!

Answer 3

I have one more question please

Answer 4

The graph below shows the distance (y) between Hannah and her home, in km, after a certain time (x), in hours.


Which of the following statements best describes Hannah's distance from her home?


It is decreasing in the interval 2 < x < 3 hours.
It is increasing in the interval 2 < x < 3 hours.
It is increasing in the interval 2 < x < 4 hours.
It is decreasing in the interval 2 < x < 4 hours.

Answer 5

A

Answer 6

Thank You!

Answer 7

The first four terms of a sequence are shown below.
7, 4, 1, -2

Which of the following functions best defines this sequence? (4 points)


f(1) = 7, f(n + 1) = f(n) + 4; for n ≥ 1
f(1) = 7, f(n + 1) = f(n) + 3; for n ≥ 1
f(1) = 7, f(n + 1) = f(n) - 3; for n ≥ 1
f(1) = 7, f(n + 1) = f(n) - 4; for n ≥ 1

Answer 8

C

Answer 9

ty

Answer 10

William raced up a flight of stairs at the rate of 3 stairs per second. The function below shows the total number of stairs f(t) that he is able to climb in t seconds.
f(t) = 3t + 4

Which statement best describes the y intercept of the graph of the function? (3 points)


It is equal to 3 and represents the number of stairs William had already climbed before he started racing up.
It is equal to 3 and represents the number of stairs William can climb in 1 second.
It is equal to 4 and represents the number of stairs William had already climbed before he started racing up.
It is equal to 7 and represents the number of stairs William can climb in 1 second.

Answer 11

C

Answer 12

lol thanks