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05.12.2008 at 11:40AM PDT, ID: 23395518
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7.6

Recursion question?

Asked by andyw27 in Theory, Algorithms

Hello,

I'm trying to get my head around 'tree recursion'.  I found this example on the web but I do not uunderstabd how it gets th answers:

Here is the code:

The Fibonacci function fib provides a classic example of tree recursion. The Fibonacci numbers can be defined by the rule:

   fib(n) = 0  if n is 0,
          = 1  if n is 1,
          = fib(n-1) + fib(n-2) otherwise

For example, the first seven Fibonacci numbers are

   Fib(0) = 0  
   Fib(1) = 1  
   Fib(2) = Fib(1) + Fib(0) = 1
   Fib(3) = Fib(2) + Fib(1) = 2
   Fib(4) = Fib(3) + Fib(2) = 3
   Fib(5) = Fib(4) + Fib(3) = 5
   Fib(6) = Fib(5) + Fib(4) = 8

Take this for example

Fib(4) = Fib(3) + Fib(2) = 3

I cannot understand how the equation gives a finished value of 3, I get 5?

Any help with this is appreciated.
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Solution Provided By: Kdo
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Solution Grade: A
 
 
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