Sum of series program ?

Question

Answer

Here is source code of the C Program to Find the Sum of Series 1/1! + 2/2! + 3/3! + ……1/N!. The C program is successfully compiled and run on a Linux system. The program output is also shown below.

/*
* C Program to Find find Sum of the Series 1/1! + 2/2! + 3/3! + ……1/N!
*/
#include

double sumseries(double);

main()
{
double number,sum;
printf(' Enter the value: ');
scanf('%lf', &number);
sum = sumseries(number);
printf(' Sum of the above series = %lf ', sum);
}

double sumseries(double m)
{
double sum2 = 0, f = 1, i;
for (i = 1; i <= m;=''>
{
f = f * i;
sum2 = sum2 +(i / f);
}
return(sum2);
}
Program Explanation
In this C Program, we are reading the limit using ‘number’ integer variable. The sumseries() function is used to compute the summation of the series by passing the limit ‘number’ variable value as argument.

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For loop is used to compute the summation for each integer values in the series up to the limit as mentioned by user in ‘number’ variable. Compute the factorial for the denominator by multiplying the value of ‘f’ variable with the value of ‘i’ variable.

Compute the summation of series by dividing the value of ‘i’ variable by the value of ‘f’ variable. Add the value with the value of ‘sum2’ variable. Print the sum of the series using printf statement.

hope it's help u :)

Answer

For loop is used to compute the summation for each integer values in the series up  to the limit as mentioned by user in number veritable.  compute the factorial for the denominator by multiplying the value of f variable with the value of I I variable.... print the sum of the series using print f statement.

Answer

Sum of Series Program

Understanding the concept of summing a series of numbers is essential in programming. This involves adding up a sequence of numbers according to a specific pattern or formula. Below are the steps to create a program that calculates the sum of a series.

Define the Series
- Identify the series of numbers you want to sum. This could be a simple arithmetic progression, geometric progression, or any other pattern.

Write a Function
- Create a function in your programming language that takes the series as input and calculates the sum.
- You can use loops or recursion to iterate through the series and add up the numbers.

Input Validation
- Ensure that your program handles invalid inputs, such as non-numeric values or negative numbers in the series.
- Implement error-checking mechanisms to prevent unexpected behavior.

Test the Program
- Test your program with different series inputs to verify that it calculates the sum correctly.
- Check for edge cases and boundary conditions to ensure the program is robust.

Optimize the Algorithm
- Look for ways to optimize the algorithm for calculating the sum of the series.
- Consider using mathematical formulas or techniques to improve the efficiency of the program.

Conclusion
Calculating the sum of a series is a fundamental programming task that can help improve your problem-solving skills. By following the steps outlined above, you can create a reliable and efficient program for summing series of numbers.

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