c语言1+2+3+4+5_C程序来计算系列1+（1 + 2）+（1 + 2 + 3）+（1 + 2 + 3 + 4）+ ... +（1 + 2 + 3 + ... + n）...

一时失言乱红尘 2023-03-05 05:25 23阅读 0赞

c语言1+2+3+4+5

The series is: **1+(1+2) +(1+2+3) +(1+2+3+4) + ... +(1+2+3+...+n)**, we have to find out the sum up to N terms.

该序列是： **1+(1 + 2)+(1 + 2 + 3)+(1 + 2 + 3 + 4)+ ... +(1 + 2 + 3 + ... + n)** ，我们有找出N个项之和。

**Solution:**

**解：**

We know the sum of natural numbers up to n = (n(n-1))/2

我们知道n等于(n(n-1))/ 2的自然数之和

If we simplify this we get, n(n+1)(2n+4)/12

如果我们简化一下，我们得到n(n + 1)(2n + 4)/ 12

If we put the number of terms in the above equation then we'll get the sum of the series up to that particular term.

如果我们将项数放在上述方程式中，那么我们将得到该特定项之前的序列之和。

Now, let's see Program it using the using c program,

现在，让我们看一下使用using c程序对其进行编程，

#include <stdio.h>
    
    //function for creating the sum of the
    //series up to Nth term
    
    int series_sum(int n)
    {
        
        return ((n * (n + 1) * (2 * n + 4)) / 12);
    }
    
    int main()
    {
        
        int n;
        
        printf("Series:1+(1+2+)+(1+2+3)+...+(1+2+3+...+n)\n");
        printf("Want some up to N terms?\nEnter the N term:");
        scanf("%d", &n);
    
        printf("Sum is:%d", series_sum(n));
    
        return 0;
    }

**Output**

**输出量**

Series:1+(1+2+)+(1+2+3)+...+(1+2+3+...+n)
    Want some up to N terms?
    Enter the N term:10
    Sum is:220

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**阅读更多...**

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> 翻译自: [https://www.includehelp.com/c-programs/calculate-the-sum-of-the-series-1-1-2-1-2-3-1-2-3-4-1-2-3-n.aspx][https_www.includehelp.com_c-programs_calculate-the-sum-of-the-series-1-1-2-1-2-3-1-2-3-4-1-2-3-n.aspx]

c语言1+2+3+4+5

[C programs by categories]: https://www.includehelp.com/c-programming-examples-solved-c-programs.aspx
[Sum of the series programs C]: https://www.includehelp.com/c-programs/sum-of-series-examples.aspx
[Star_Asterisks Pattern programs in C]: https://www.includehelp.com/c-programs/c-program-to-print-stars-in-series-pyramid-using-looping.aspx
[https_www.includehelp.com_c-programs_calculate-the-sum-of-the-series-1-1-2-1-2-3-1-2-3-4-1-2-3-n.aspx]: https://www.includehelp.com/c-programs/calculate-the-sum-of-the-series-1-1-2-1-2-3-1-2-3-4-1-2-3-n.aspx