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?

-4, 12, -28, 60, …

-4, -12, -28, -60, …

-4, 12, -18, 54, …

-4, 12, -18, -54, …

Question

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?

 -4, 12, -28, 60, …

 -4, -12, -28, -60, …

 -4, 12, -18, 54, …

 -4, 12, -18, -54, …

anonymous · Answer

like how know 1 replies when i ask o_O

anonymous · Answer

$$f(2)=-3f(1)-2f(0)=-3(12)-2(-4)=-28$$
It's gotta be the first choice. The second one doesn't have the right term for $f(1)$.

anonymous · Answer

ty
do u know y like i dont get it at all

anonymous · Answer

:?