## Printing Fibonacci Sequence Using Recursive and Iterative Methods

By definition, the first two numbers in the Fibonacci sequence are 1 and 1, or 0 and 1, depending on the chosen starting point of the sequence, and each subsequent number is the sum of the previous two.

1, 1, 2, 3, 5, 8, 13, 21, 34…
or
0, 1, 2, 3, 5, 8, 13, 21, 34…

Programmatically Fibonacci Sequence can be computed both iteratively and recursively. In the following Java program, I have shown how to print n numbers in the sequence using both approach. Please note that I have generated 1 based sequence, not the 0 based.

```package com.icodejava.blog.published;

/**
* @author Kushal Paudyal
* www.icodejava.com
* Created On -  Mar 11, 2014
*/
public class Fibonacci {

static final int NUMBER_OF_FIBONACCI_SEQUENCE = 10;

public static void main(String args[]) {

System.out.print("RECURSIVELY GENERATED:");
generateFibonacciRecursive(NUMBER_OF_FIBONACCI_SEQUENCE);

System.out.print("\nITERATIVELY GENERATED:");
generateFibonacciIterative(NUMBER_OF_FIBONACCI_SEQUENCE);
}

/**
* Loops n number of times to generate Fibonacci Sequence.
* Each nth Fibonacci Number is generated iteratively.
*/
private static void generateFibonacciIterative(int n) {
for (int i = 0; i < n; i++) {
System.out.print(fibIterative(i) + ",");
}

}

/**
* Loops n number of times to generate Fibonacci Sequence.
* Each nth Fibonacci Number is generated recursively.
*/
private static void generateFibonacciRecursive(int n) {
for (int i = 0; i < n; i++) {
System.out.print(fibRecursive(i) + ",");
}

}

/**
* Uses recursion to generate nth Fibonacci number
*/
private static int fibRecursive(int n) {
int result = -1;
if (n == 0 || n == 1) {
result = 1;
} else if (n > 1) {
result = fibRecursive(n - 1) + fibRecursive(n - 2);

}

return result;
}

/**
* User iteration to generate nth Fibonacci number
*/
private static int fibIterative(int n) {
if (n < 0) {
return -1;
}

if (n == 0) {
return 1;
}

int a = 1;
int b = 1;

for (int i = 2; i <= n; i++) {
int c = a + b;
a = b;
b = c;
}

return b;
}

}
```

Here is the output of running above program:

```RECURSIVELY GENERATED:1,1,2,3,5,8,13,21,34,55,
ITERATIVELY GENERATED:1,1,2,3,5,8,13,21,34,55,
```