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:
https://latex.csdn.net/eq?m%28i%29%20%3D%201+%20%5Cfrac%7B%5Cfrac%7B%7D%7B%7D1%7D%7B2%7D+%20%5Cfrac%7B%5Cfrac%7B%7D%7B%7D1%7D%7B3%7D%20+%20...%20+%20%5Cfrac%7B%5Cfrac%7B%7D%7B%7D1%7D%7Bi%7D
编写一个测试程序，为i = 1, 2, …, 10显示m(i)
[*] 代码示例
编程练习题18_4SumOfSequences.java
package chapter_18;
public class 编程练习题18_4SumOfSequences {
public static void main(String[] args) {
for(int i = 1;i <= 10;i++) {//从1到10
System.out.printf("When i is %d, the sum of the fraction is %.2f\n",i,sequences(i));
}
}
public static double sequences(int n) {
return sequences(1,n);
}
public static double sequences(int i,int n) {
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）
return 0;
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
}
}
[*] 输出结果
When i is 1, the sum of the fraction is 1.00
When i is 2, the sum of the fraction is 1.50
When i is 3, the sum of the fraction is 1.83
When i is 4, the sum of the fraction is 2.08
When i is 5, the sum of the fraction is 2.28
When i is 6, the sum of the fraction is 2.45
When i is 7, the sum of the fraction is 2.59
When i is 8, the sum of the fraction is 2.72
When i is 9, the sum of the fraction is 2.83
When i is 10, the sum of the fraction is 2.93
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