### Archive

Archive for January 2, 2010

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

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

Categories: Cpp Tags: ,