有一分数序列:2/1, 3/2, 5/3, 8/5, 13/8, 21/13....求出这个数列的第M到N项之和(M>2,N>2,N>M)

package bianchengti;
/*
 * 有一分数序列:2/1, 3/2, 5/3, 8/5, 13/8, 21/13....
 * 求出这个数列的第M到N项之和(M>2,N>2,N>M)
 */
public class getSumByMN {
    //返回项:1, 2, 3, 5, 8, 13, 21....
    public static int getItem(int n) {
        if(n<0)
            return 0;
        int []array = {0,1,2};
        if(n<3)
            return array[n];
        return getItem(n-1)+getItem(n-2);
    }
    
    //返回项:2/1, 3/2, 5/3, 8/5, 13/8, 21/13....
    public static double getNumber(int n) {
        return (double)getItem(n+1) / getItem(n);
    }
    
    //返回第M到N项之和
    public static double getSum(int m,int n) {
        double sum = 0.0;
        for(int i = m; i <= n; i++){
            sum += getNumber(i);  
        }
        return sum;
    }
    
    public static void main(String[] args) {
        // TODO Auto-generated method stub
        System.out.println(getSum(3, 4));    //3.2666666666666666
    }

}

 

posted @ 2017-09-25 17:06  刘镇平Jasper  阅读(664)  评论(0编辑  收藏  举报