anonymous
  • anonymous
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? (4 points) -2, 8, -26, -80, … -2, 8, -26, 80, … -2, 12, -44, 180, … -2, -12, -44, -180, …
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Astrophysics
  • Astrophysics
Plug in f(2) so where ever there is a n plug in a 2 there as following \[f(2) = -4 \times f(2-1) - 3 \times f(2-2) \implies f(2) = -4 f(1)-3 f(0)\] and then you can figure out the rest as we now have are given the other terms.
anonymous
  • anonymous
What do I do now?
Astrophysics
  • Astrophysics
Notice how we have f(1) and f(0) there now we can simply plug in the given values for f(1) and f(0)

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More answers

Astrophysics
  • Astrophysics
\[f(2) = -4(8)-3(-2)\] what does that equal?
anonymous
  • anonymous
f(2) -36 + 6
anonymous
  • anonymous
?
Astrophysics
  • Astrophysics
No try again
anonymous
  • anonymous
What am I supposed to do ??
Astrophysics
  • Astrophysics
I explained it, read it over. What is -4 times 8?
anonymous
  • anonymous
-32
Astrophysics
  • Astrophysics
what is -32+6?
anonymous
  • anonymous
-26
Astrophysics
  • Astrophysics
Correct, so now we have our first three terms, -2,8,-26 now do the same thing to find the fourth term
anonymous
  • anonymous
put them together?
Astrophysics
  • Astrophysics
No, you're looking for a sequence, so like a pattern, 1,2,3,4...so we have f(0),f(1),f(2), now we need f(3)
anonymous
  • anonymous
I don't know how to do that!
Astrophysics
  • Astrophysics
Do the same steps as I showed you but for f(3) but now we have f(2) = -26
anonymous
  • anonymous
What?
Astrophysics
  • Astrophysics
You need to find the first four terms, I showed you how to get your third term now you have to find the fourth term, just read through what I said above. The first comment.
anonymous
  • anonymous
I have no idea what this means but thanks anyways..
Astrophysics
  • Astrophysics
Scroll up and just try to understand dude
anonymous
  • anonymous
I did try but I don't get it.
Astrophysics
  • Astrophysics
We're given a pattern for f(n) all we have to plug in is the values we're looking for, we have the first three, now we need the fourth, so \[f(3) = -4 \times f(3-1)-3 \times f(3-2)\]
anonymous
  • anonymous
What do I do??

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