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The function f(n) = 3f(n-2) - 2f(n-1) , where f(2) = 3 and f(1) = -1 . What is the value of f(5) ?

 Feb 3, 2022
 #1
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Plug 5 into the equation:

 \(f(5) = 3f(5-2) - 2f(5-1)\)

\(f(5)=3f(3)-2f(4)\)

\(f(3)=3f(1) - 2f(2)\)

\(f(3)=-3 - 6\)

\(f(3)=-9\)

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

\(f(4) = 9 +18\)

\(f(4)=27\)

\(f(5)= -27- 54\)

\(\color{brown}\boxed {f(5)=-81}\)

 Feb 3, 2022
 #2
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thx for your help!!!

 Feb 4, 2022

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