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The function f(n) = 3f(n-2) - 2f(n-1), where $f(2) = 8$ and $f(1) = -1$. What is the value of f(5)?

 Aug 2, 2021
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We calculate, applying a similar method for $f(4)$ and $f(5)$. 

 

$f(3) = 3f(1) - 2f(2) = -3 - 16 = -19$

$f(4) = 24 + 38 = 62$

$f(5) = -57 + 124 = \boxed{67}$. 

 Aug 2, 2021

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