Sunday 1 November 2015

Fibonacci Series


Fibonacci Series or Fibonacci numbers are the number in the following integer sequence

        0,1,1,2,3,5,8,13,21,34,55,89,144.......

The first two numbers in Fibonacci series are 0 and 1 and each subsequent number is sum of previous two.

In mathematical terms, the sequence Fn of Fibonacci numbers is defined by

       Fn=Fn-1+Fn-2, where F0=0 and F1=1


Input:- Generate Fibonacci series upto Limit 10

Ouptut:- 0 1 1 2 3 4 8 13 21 34


Sample Program:-


 /**  
  * @author Dixit  
  *   
  */  
 public class FibonacciExample {  
      /**  
       * @param args  
       */  
      public static void main(String[] args) {  
           // number of elements to generate in a series  
           int limit = 10;  
           long[] fibonacciSeries = new long[limit];  
           // create first 2 series elements  
           fibonacciSeries[0] = 0;  
           fibonacciSeries[1] = 1;  
           // create the Fibonacci series and store it in an array  
           for (int i = 2; i < limit; i++) {  
                fibonacciSeries[i] = fibonacciSeries[i - 1]  
                          + fibonacciSeries[i - 2];  
           }  
           // print the Fibonacci series numbers  
           System.out.println("Fibonacci Series upto the limit :" + limit);  
           for (int i = 0; i < limit; i++) {  
                System.out.print(fibonacciSeries[i] + " ");  
           }  
      }  
 }  



 Output  
 Fibonacci Series upto the limit :10  
 0 1 1 2 3 5 8 13 21 34 


Enjoy Programming

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