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? -5, -20, -65, -200, … -5, 20, -92, 372, … -5, -24, -92, -372, … -5, 20, -65, 200, …

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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? -5, -20, -65, -200, … -5, 20, -92, 372, … -5, -24, -92, -372, … -5, 20, -65, 200, …

Mathematics
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you are given the first two terms in the sequence -5,20,... so you can definitely eliminate one of those choices anyways to find the third replace n with 2
okay, so what is the next step?
replacing n with 2

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then using that f(0)=-5 and f(1)=20 to find f(2) (which is the third term)
I eliminated A and C. So I am left with B or D.
I'm not sure what the third term is.
it is f(2)
since f(0) is first term and f(1) is second so f(2) is the third
that is why I'm asking you to replace n with 2
oh okay.
Don't if I plug in the -5 and the 20 into the term won't I get -65? That is what I got at first but I'm not sure if that is right?
\[f(n) = -4•f(n -1) - 3•f(n - 2) \\ f(2)=-4 \cdot f(2-1)-3 \cdot f(2-2) \\ f(2)=-4 \cdot f(1)-3 \cdot f(0)\] remember f(1) is 20 and f(0) is -5 so you have \[f(2)=-4 \cdot 20-3 \cdot (-5)\] and yes -80+15=-65
so your work is done now you can move on to next problem good job
oh okay, so that would mean if I continued with the process I would ghet 200 next right?
if you don't get 200 then none of the choices are correct :p
I did get 200, so it is D. Thanks so much! Can you help me with a few more?
sure
one more I think
Okay I'll tag you.

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