anonymous
  • anonymous
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, …
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
@BioHazard9064
BioHazard9064
  • BioHazard9064
ok
anonymous
  • anonymous
what

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BioHazard9064
  • 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 ?
anonymous
  • anonymous
0?
BioHazard9064
  • BioHazard9064
ok
BioHazard9064
  • BioHazard9064
yes! f(2) = -2 f(1) - f(0) and you already know f(1) =6, f(0) = -3 just plug in values!
anonymous
  • anonymous
so the answer isss?
BioHazard9064
  • BioHazard9064
not A
BioHazard9064
  • BioHazard9064
i'm still working it out I'm just stalling
anonymous
  • anonymous
ok
BioHazard9064
  • BioHazard9064
ok so as I said its not A
anonymous
  • anonymous
yea
BioHazard9064
  • BioHazard9064
So the Answer would be C. -3, 6, -9, 12, and so on
anonymous
  • anonymous
ok thnx :)
BioHazard9064
  • BioHazard9064
np

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