Question

I AM SO CONFUSED ????

4. 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 points)

a) -4, 12, -28, 60,
b) -4, -12, -28, -60,
c) -4, 12, -18, 54,
d) -4, 12, -18, -54,

Answer 1

f(2)=-3f(2-1)-2f(2-2)
=-3f(1)-2(0)
=-3*12-2*-4
=-36+8
=-28
we have f0,f1,f2,f3 is last
we know -4,12,-28, i leave it to u to find f(3)
plug in n=3 and solve