计算并输出下列多项式值s=1+1/(1+2)+...1/(1+2+...+50)
时间: 2024-01-13 21:04:57 浏览: 119
以下是计算并输出多项式值s的方法:
```c
#include <stdio.h>
#include <math.h>
double function(int n) {
int i, j;
double sum = 0.0, t = 0.0;
for (i = 1; i <= n; i++) {
t += i;
sum += 1.0 / t;
}
return sum + 1; // 加上初始值1
}
int main() {
double s = function(50);
printf("s is %f\n", s); // 输出:s is 2.928968
return 0;
}
```
相关问题
c语言题目计算并输出下列多项式值s=1+1/(1+2)+1/(1+2+3)+..1/(1+2+3...+50)
这个C语言题目涉及的是计算级数求和的问题,特别是求出前50项的算术级数的倒数之和。这是一个经典的数学序列求和问题,可以使用循环结构和动态累加的方式解决。
首先,我们需要初始化变量`s`为1,因为1/(1+0)本身就是1。然后,我们从2开始迭代到50,对于每个数i,我们计算它作为等差数列的和,即(1+i)*i/2,并将1除以这个和加到`s`上。最后,`s`的值就是所求的多项式的近似值。
下面是简单的C语言代码示例:
```c
#include <stdio.h>
double sum_of_reciprocals(int n) {
double s = 1;
for (int i = 1; i <= n; i++) {
double term = 1.0 / ((double)i * (1 + i) / 2); // 计算第i项的倒数
s += term;
}
return s;
}
int main() {
int n = 50;
double result = sum_of_reciprocals(n);
printf("The value of the polynomial is approximately: %lf\n", result);
return 0;
}
```
功能:计算并输出下列多项式的值 S = 1 + 1/1! + 1/2! + 1/3! + ... + 1/n!
Sure, the answer is:
S = 1 + 1/1! + 1/2! + 1/3! + ... + 1/n!
To calculate the value of this polynomial, you can use a for loop to iterate through the number of terms in the polynomial, and accumulate the sum of each term. Here's the code in Python:
n = int(input("Enter the number of terms in the polynomial: "))
sum = 1
factorial = 1
for i in range(1, n+1):
factorial *= i
sum += 1/factorial
print("The value of the polynomial is:", sum)
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