biancarivera biancarivera
  • 19-11-2017
  • Mathematics
contestada

if f(1) = 160 and f(n+ 1) = -2f(n), what is f(4)?

if f1 160 and fn 1 2fn what is f4 class=

Respuesta :

jimthompson5910 jimthompson5910
  • 19-11-2017
f(1) = 160 is given to us. We'll use it to find f(2)
f(n+1) = -2*f(n)
f(1+1) = -2*f(1) ... replace every n with 1
f(1+1) = -2*160 ... replace f(1) with 160
f(2) = -320

Now use f(2) to find f(3)
f(n+1) = -2*f(n)
f(2+1) = -2*f(2) ... replace every n with 2
f(3) = -2*(-320) ... replace f(2) with -320
f(3) = 640

Finally, use f(3) to find f(4)
f(n+1) = -2*f(n)
f(3+1) = -2*f(3) ... replace every n with 3
f(4) = -2*640 ... replace f(3) with 640
f(4) = -1280

Final Answer: -1280

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