anonymous
  • anonymous
FAN AND MEDAL!!!!! PLEASE HELP!!!!! 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? A) -4, 12, -28, 60, … B) -4, -12, -28, -60, … C) -4, 12, -18, 54, … D) -4, 12, -18, -54, …
Mathematics
schrodinger
  • schrodinger
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Pandemonium
  • Pandemonium
B
anonymous
  • anonymous
B can't be the answer. @Pandemonium
Pandemonium
  • Pandemonium
no wait let me fix this real quick

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anonymous
  • anonymous
okay
Pandemonium
  • Pandemonium
i got C but id check with someone else to be sure
anonymous
  • anonymous
Please explain how you got the answer
anonymous
  • anonymous
So did you just guess?
Pandemonium
  • Pandemonium
No my teacher is here helping me and even he's confused what the question is asking but he's trying different methods to find the answer
anonymous
  • anonymous
okay
anonymous
  • anonymous
It's florida virtual school, so I wouldn't be surprised if it was entirely wrong.
anonymous
  • anonymous
@pooja195 please help
Pandemonium
  • Pandemonium
yea, but me him decide to eliminate the worst possible answers and we got rid of A and B
anonymous
  • anonymous
okay thx
Pandemonium
  • Pandemonium
so your left with C and D
Pandemonium
  • Pandemonium
ok, f(0) = -3 , first term = -3 f(1) = 6, 2nd term = 6 so, as of now our sequence is -3,6 to find nect term, we will use f(n) = -2•f(n -1) - f(n - 2) put n= 2 here, what do u get ?
anonymous
  • anonymous
-2, but that must be wrong
Pandemonium
  • Pandemonium
you just replace "n" by "2" there, to get f(2)
Pandemonium
  • Pandemonium
f(2) = -2 f(1) - f(0) and you already know f(1) =6, f(0) = -3 just plug in values!
Pandemonium
  • Pandemonium
you need to find f(3) too! f(3) = - 2f(2) - f(1) = - 2(-9) -6 = 18-6 = 12
anonymous
  • anonymous
That's what I did. Idk how I got such a bogus answer. What did you get?
Pandemonium
  • Pandemonium
Well A isnt matching and B isnt either
anonymous
  • anonymous
Can you do it for f(4)? I'd probably get it wrong
Pandemonium
  • Pandemonium
no that'll probably mess it up but u can try and see if u find a good answer
anonymous
  • anonymous
okay
Pandemonium
  • Pandemonium
ok
anonymous
  • anonymous
I got -13, but it's obviously wrong
Pandemonium
  • Pandemonium
yea, well my best possible answer would have to be D
anonymous
  • anonymous
really, why?
Pandemonium
  • Pandemonium
its the only one close to matching what me and my teacher got but to sure try to find other possible solutions
anonymous
  • anonymous
ok
Pandemonium
  • Pandemonium
so yea its either gonna be C or D
Pandemonium
  • Pandemonium
my best guess would be D but i aint 100% sure

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