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13.2 Fibonacci

 

Fibonacci

The Fibonacci sequence is where each number is the sum of the two preceding it. We can write this recursively the way we did below. Our base case would be when we get to the n = 1, and our recursive case would be whenever n < 2
// Fibonacci Series using Recursion class fibonacci { public static int fibonacci(int n) { if (n < 2) return; return fibonacci(n-1) + fibonacci(n-2); } public static void main (String args[]) { int n = 6; System.out.println(fibonacci(n)); } }
 
To understand a recursive problem, we can once again create a flowchart.
So we have n = 6
notion image
 
So essentially we have 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 8
 
 
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