Compute series sum S=1+1/2+1/3+...+1/50

Last update on September 18 2025 12:32:28 (UTC/GMT +8 hours)

Compute series sum S=1+1/2+1/3+...+1/50

Write a C program to calculate the value of S where S = 1 + 1/2 + 1/3 + … + 1/50.

Sample Solution:

C Code:

#include <stdio.h>
int main() {
    float S = 0;
    int i;
    
    // Loop to calculate the sum
    for(i=1; i<=50; i++) {
        S += (float)1/i;
    }
    
    // Print the result
    printf("Value of S: %.2f\n", S);

    return 0;
}

Sample Output:

Value of S: 4.50

Flowchart:

For more Practice: Solve these Related Problems:

• Write a C program to compute the sum of the harmonic series for a user-defined number of terms.
• Write a C program to calculate the sum of the series S = 1 + 1/3 + 1/5 + ... for odd denominators up to a specified limit.
• Write a C program to compute the alternating harmonic series sum: S = 1 - 1/2 + 1/3 - 1/4 + ... for a given number of terms.
• Write a C program to calculate the sum of the series of reciprocals of squares, S = 1 + 1/4 + 1/9 + ... for n terms.

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