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C Exercises: Calculate the sum of the series [ x - x^3 + x^5 + ......]

C For Loop: Exercise-24 with Solution

Write a program in C to find the sum of the series [ x - x^3 + x^5 + ......].

Sample Solution:

C Code:

#include <stdio.h>
#include <math.h>
void main()
{
	int x,sum,ctr;
	int i,n,m,mm,nn;
	printf("Input the value of x :");
	scanf("%d",&x);
	printf("Input number of terms : ");
	scanf("%d",&n);
	sum =x; m=-1;
	printf("The values of the series: \n");
	printf("%d\n",x);
    for (i = 1; i < n; i++) 
    {
        ctr = (2 * i + 1);
        mm = pow(x, ctr);
        nn = mm * m;
        printf("%d \n",nn);
        sum = sum + nn;
        m = m * (-1);
	}
	printf("\nThe sum = %d\n",sum);
}

Sample Output:

Input the value of x :2                                                                                       
Input number of terms : 5                                                                                     
The values of the series:                                                                                     
2                                                                                                             
-8                                                                                                            
32                                                                                                            
-128                                                                                                          
512                                                                                                           
                                                                                                              
The sum = 410                                                                                           

Flowchart:

Flowchart: Calculate the sum of the series [ x - x^3 + x^5 + ......]

C Programming Code Editor:

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Previous: Write a program in C to display the sum of the series [ 1+x+x^2/2!+x^3/3!+....].
Next: Write a program in C to display the n terms of square natural number and their sum.

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C Programming: Tips of the Day

Static variable inside of a function in C

The scope of variable is where the variable name can be seen. Here, x is visible only inside function foo().

The lifetime of a variable is the period over which it exists. If x were defined without the keyword static, the lifetime would be from the entry into foo() to the return from foo(); so it would be re-initialized to 5 on every call.

The keyword static acts to extend the lifetime of a variable to the lifetime of the programme; e.g. initialization occurs once and once only and then the variable retains its value - whatever it has come to be - over all future calls to foo().

Ref : https://bit.ly/3fOq7XP