dyamaneemonge793 dyamaneemonge793
  • 07-07-2019
  • Mathematics
contestada

If f(1) = 160 and f(n + 1) = –2f(n), what is f(4)?

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jcherry99
jcherry99 jcherry99
  • 07-07-2019

Answer:

-1280

Step-by-step explanation:

There are 2 ways you could do this. You could just do the question until you come to the end of f(4). That is likely the simplest way to do it.

f(1) = 160

f(2) = - 2 * f(1)

f(2) = -2*160

f(2) = -320

f(3) = -2 * f(2)

f(3) = -2 * - 320

f(3) = 640

f(4) = - 2 * f(3)

f(4) = - 2 * 640

f(4) = - 1280

I don't know that you could do this explicitly with any real confidence.

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konrad509
konrad509 konrad509
  • 07-07-2019

[tex]f(1)=160\\f(n+1)=-2f(n)\\\\f(2)=-2\cdot 160=-320\\f(3)=-2\cdot(-320)=640\\f(4)=-2\cdot 640=-1280[/tex]

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