The following function defines a recursive sequence:
f(0) = -3
f(1) = 6
f(n) = -2•f(n -1) - f(n - 2); for n > 1
Which of the following sequences is defined by this recursive function?
A. -3, 6, -9, -12, …
B. -3, 20, -95, 480, …
C. -3, 6, -9, 12, …
D. -3, -20, -95, -480, …
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OpenStudy (anonymous):
@BioHazard9064
OpenStudy (biohazard9064):
ok
OpenStudy (anonymous):
what
OpenStudy (biohazard9064):
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 ?
OpenStudy (anonymous):
0?
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OpenStudy (biohazard9064):
ok
OpenStudy (biohazard9064):
yes!
f(2) = -2 f(1) - f(0)
and you already know
f(1) =6, f(0) = -3
just plug in values!
OpenStudy (anonymous):
so the answer isss?
OpenStudy (biohazard9064):
not A
OpenStudy (biohazard9064):
i'm still working it out I'm just stalling
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OpenStudy (anonymous):
ok
OpenStudy (biohazard9064):
ok so as I said its not A
OpenStudy (anonymous):
yea
OpenStudy (biohazard9064):
So the Answer would be C. -3, 6, -9, 12, and so on
OpenStudy (anonymous):
ok thnx :)
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