The Fibonacci Sequence is a series of numbers where the next number is found by adding the previous two numbers.
Ex:
n | 1 | 2 | 3 | 4 | 5 | 6 |
---|---|---|---|---|---|---|
x | 1 | 1 | 2 | 3 | 5 | 8 |
```
class Fibonacci
{
public static void main(String[] args)
{
for(int i = 1; i < 60; i ++)
{
System.out.println("Fibonacci " + i + " is: t" + fib(i));
}
}
//recursive definition of bibonacci
public static double fib(int n)
{
if(n == 1 || n == 2)
{
return(1);
}
return(fib(n -1) + fib(n -2));
}
}
```
I would like to note that solving each Fibonacci number recursively is not efficient due to the enormous stack it creates for higher elements. A more effective way to calculate the Fibonacci sequence is iteratively. I only did this recursively to demonstrate its recursive nature.