The following function defines a recursive sequence.

f(0) = -5

f(1) = 20

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

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

a. -5, -20, -65, -200, …

b. -5, 20, -92, 372, …

c. -5, -24, -92, -372, …

d. -5, 20, -65, 200, …

Question

The following function defines a recursive sequence.

f(0) = -5

f(1) = 20

f(n) = -4•f(n -1) - 3•f(n - 2); for n > 1

Which of the following sequences is defined by this recursive function?

a.  -5, -20, -65, -200, …

b. -5, 20, -92, 372, …

c.  -5, -24, -92, -372, …

d. -5, 20, -65, 200, …

anonymous · Answer

this helped me: http://www.purplemath.com/modules/nextnumb3.htm

anonymous · Answer

d i suppose since f(2)=-4f(1)-3f(0)=-65

anonymous · Answer

f(3)=-4f(2)-3f(1)=200