SOLUTION: 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 r

Question 979675: 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, �
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Plug in n = 2 to get
f(n) = -3*f(n -1) - 2*f(n - 2)
f(2) = -3*f(2 -1) - 2*f(2 - 2)
f(2) = -3*f(1) - 2*f(0)
f(2) = -3*12 - 2*(-4)
f(2) = -28

Plug in n = 3 to get
f(n) = -3*f(n -1) - 2*f(n - 2)
f(3) = -3*f(3 -1) - 2*f(3 - 2)
f(3) = -3*f(2) - 2*f(1)
f(3) = -3*(-28) - 2*(12)
f(3) = 60

So the sequence is -4, 12, -28, 60

RELATED QUESTIONS
A sequence has its first term equal to 4, and each term of the sequence is obtained by... (answered by ikleyn)

The recursive rule for a sequence is f(1)=8 1/2, f(n)=f(n-1)-1/2. How should I find the... (answered by Edwin McCravy)

find the first five values of the recursive function f(1)= 5; f(n) = f(n-1) +... (answered by stanbon)

I am working with recursive functions. I do not understand the examples given in the... (answered by stanbon)

the recursive rule for a sequence is f(n) = f(n-1)/2 +5. The first term is 4. What is the (answered by ewatrrr)

The length of a field in yards is a function f(n) of the length n in feet. Write a... (answered by stanbon)

Find the 1st 5 values of the recursive function, then find their 1st and 2nd differences, (answered by drk)

The Fibonacci sequence, is defined by F_0 = 0, F_1 = 1, and F_n = F_{n - 2} + F_{n - 1}. (answered by CPhill,greenestamps)

The function f satisfies f(m + n) = f(m) + f(n) - 2f(mn + m + n + 1) + m^2 + n^2 for... (answered by CPhill)