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标题: Java语言程序计划基础篇_编程练习题18.4 (对数列求和) [打印本页]
作者: 老婆出轨    时间: 2024-9-9 13:50
标题: Java语言程序计划基础篇_编程练习题18.4 (对数列求和)
题目：18.4 (对数列求和)

编写一个递归方法来盘算下面的级数:

编写一个测试程序，为i = 1, 2, …, 10显示m(i)

   编程练习题18_4SumOfSequences.java 
  1. package chapter_18;
  3. public class 编程练习题18_4SumOfSequences {
  4.         public static void main(String[] args) {
  5.                 for(int i = 1;i <= 10;i++) {//从1到10
  6.                         System.out.printf("When i is %d, the sum of the fraction is %.2f\n",i,sequences(i));
  7.                 }
  8.         }
  9.         public static double sequences(int n) {
  10.                 return sequences(1,n);
  11.         }
  12.        
  13.         public static double sequences(int i,int n) {
  14.                 if(i > n)// 如果i大于n，说明已经超出了范围，返回0（因为没有元素可加）  
  15.                         return 0;
  16.                 else return 1.0/i + sequences(i+1, n);// 否则，返回当前数的倒数加上从i+1到n的倒数之和  
  17.         }
  19. }
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  1. When i is 1, the sum of the fraction is 1.00
  2. When i is 2, the sum of the fraction is 1.50
  3. When i is 3, the sum of the fraction is 1.83
  4. When i is 4, the sum of the fraction is 2.08
  5. When i is 5, the sum of the fraction is 2.28
  6. When i is 6, the sum of the fraction is 2.45
  7. When i is 7, the sum of the fraction is 2.59
  8. When i is 8, the sum of the fraction is 2.72
  9. When i is 9, the sum of the fraction is 2.83
  10. When i is 10, the sum of the fraction is 2.93
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