利用Java求1/1!+2/2!+3/3!+5/4!+8/5!+13/6!+...前10项之和
时间: 2023-11-14 15:06:28 浏览: 96
java基础编程:求1+2!+3!+...的前n项的和
这道题目是要求前10项的和,而每一项的分子是斐波那契数列的第n项,分母是n的阶乘。可以使用循环来计算每一项的值并累加和。以下是一种可能的Java代码实现:
```
public static void main(String[] args) {
double sum = 0;
double numerator = 1;
for (int i = 1; i <= 10; i++) {
double denominator = factorial(i);
sum += numerator / denominator;
numerator += fibonacci(i);
}
System.out.println(sum);
}
static double factorial(int n) {
double result = 1;
for (int i = 1; i <= n; i++) {
result *= i;
}
return result;
}
static double fibonacci(int n) {
if (n == 1 || n == 2) {
return 1;
}
double prev1 = 1;
double prev2 = 1;
double result = 0;
for (int i = 3; i <= n; i++) {
result = prev1 + prev2;
prev2 = prev1;
prev1 = result;
}
return result;
}
```
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