radomes.openskiesproject.org
kalebutt kalebutt
  • 09-05-2016
  • Mathematics
Answered

If a sequence is defined recursively by f(0)=2 and f(n+1)=-2f (n)+3 for n> or equal to 0,what is f(2)?

Verified Answer :

Neuron
Neuron Neuron
  • 17-05-2016

If you would like to know what is f(2), you can calculate this using the following steps:

f(0) = 2
f(n+1) = - 2 f(n) + 3
f(1) = - 2 f(0) + 3 = - 2 2 + 3 = - 4 + 3 = - 1
f(2) = - 2 f(1) + 3 = - 2 * (-1) + 3 = 2 + 3 = 5

The correct result would be f(2) = 5.

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