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C++ Program to find Sum of Series (When n is Odd/Even) – Q2

January 2, 2010 Leave a comment

Q2. Program to find Sum of Series:
i) x-x^3/3!-x^5/5!+x^7/7!-….. x^n/n! (When n is odd)
ii) x^2/2!-x^4/4!+x^6/6!-….. x^n/n! (When n is even)

… from College notes (BCA/MCA assignments):
 

#include <iostream.h>
#include <math.h>
#include <conio.h>

long Fact(long);
float Odd_Series(int, int);
float Even_Series(int , int);

int main(){
	int x, n;
	float sum;
	clrscr();

	cout<<"\n Enter the Value of x: ";
	cin>>x;
	cout<<"\n Enter the Value of n: ";
	cin>>n;

	sum = Odd_Series(x, n);
	cout<<"\n Sum of Odd Series: "<<sum;

	sum = Even_Series(x, n);
	cout<<"\n Sum of Even Series: "<<sum;

	getch();
	return 0;
	}

long Fact(long f){
	if(f<=0)
		return 1;
	else
		return (f * Fact(f-1));
}

float Odd_Series(int x, int n){
	int i, f;
	float sum = 0;
	for(i=1, f=0; i<=n; i=i+2, f++)
		sum += pow(-1, f) * pow(x, i) / Fact(i);
	return sum;
}

float Even_Series(int x, int n){
	int i, f;
	float sum = 0;

	for(i=2, f=0; i<=n; i=i+2, f++)
		sum += pow(-1, f) * pow(x, i) / Fact(i);

	return sum;
}

 

Output:

Enter the Value of x: 4

Enter the Value of n: 5

Sum of Odd Series: 1.866667
Sum of Even Series: -2.666667


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Categories: Cpp Tags: ,