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, …

- anonymous

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- Pandemonium

B

- anonymous

B can't be the answer. @Pandemonium

- Pandemonium

no wait let me fix this real quick

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## More answers

- anonymous

okay

- Pandemonium

i got C but id check with someone else to be sure

- anonymous

Please explain how you got the answer

- anonymous

So did you just guess?

- 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

okay

- anonymous

It's florida virtual school, so I wouldn't be surprised if it was entirely wrong.

- anonymous

@pooja195 please help

- Pandemonium

yea, but me him decide to eliminate the worst possible answers and we got rid of A and B

- anonymous

okay thx

- Pandemonium

so your left with C and D

- 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

-2, but that must be wrong

- Pandemonium

you just replace "n" by "2" there,
to get f(2)

- Pandemonium

f(2) = -2 f(1) - f(0)
and you already know
f(1) =6, f(0) = -3
just plug in values!

- Pandemonium

you need to find f(3) too!
f(3) = - 2f(2) - f(1) = - 2(-9) -6 = 18-6 = 12

- anonymous

That's what I did. Idk how I got such a bogus answer. What did you get?

- Pandemonium

Well A isnt matching and B isnt either

- anonymous

Can you do it for f(4)? I'd probably get it wrong

- Pandemonium

no that'll probably mess it up but u can try and see if u find a good answer

- anonymous

okay

- Pandemonium

ok

- anonymous

I got -13, but it's obviously wrong

- Pandemonium

yea, well my best possible answer would have to be D

- anonymous

really, why?

- Pandemonium

its the only one close to matching what me and my teacher got but to sure try to find other possible solutions

- anonymous

ok

- Pandemonium

so yea its either gonna be C or D

- Pandemonium

my best guess would be D but i aint 100% sure

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