Question

The following function defines a recursive sequence.

f(0) = -2

f(1) = 8

f(n) = -4•f(n -1) - 3•f(n - 2); for n > 1

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

-2, 8, -26, -80, …

-2, 8, -26, 80, …

-2, 12, -44, 180, …

-2, -12, -44, -180, …

Answer 1

Don't be lazy :p, find f(3) recursively :)

Answer 2

lol ok i find it for you

Answer 3

\(f(3)=-4f(2)-3f(1)=-4[-4f(1)-3f(0)]-3f(1)=-4[-4(8)-3(-2)]-3(8)=80\)

Answer 4

Thank you so much

Answer 5

no problem :)

Answer 6

lol didn't realize that it was over the margin sorry I actually wrote \(=80\) at the end but it won't show it in my browser :/