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anonymous
 one year ago
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, …
anonymous
 one year ago
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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freckles
 one year ago
Best ResponseYou've already chosen the best response.1you 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

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay, so what is the next step?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1then using that f(0)=5 and f(1)=20 to find f(2) (which is the third term)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I eliminated A and C. So I am left with B or D.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm not sure what the third term is.

freckles
 one year ago
Best ResponseYou've already chosen the best response.1since f(0) is first term and f(1) is second so f(2) is the third

freckles
 one year ago
Best ResponseYou've already chosen the best response.1that is why I'm asking you to replace n with 2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Don'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?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1\[f(n) = 4•f(n 1)  3•f(n  2) \\ f(2)=4 \cdot f(21)3 \cdot f(22) \\ f(2)=4 \cdot f(1)3 \cdot f(0)\] remember f(1) is 20 and f(0) is 5 so you have \[f(2)=4 \cdot 203 \cdot (5)\] and yes 80+15=65

freckles
 one year ago
Best ResponseYou've already chosen the best response.1so your work is done now you can move on to next problem good job

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh okay, so that would mean if I continued with the process I would ghet 200 next right?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1if you don't get 200 then none of the choices are correct :p

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I did get 200, so it is D. Thanks so much! Can you help me with a few more?
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