Summation Of Series..

Find The summation Of The Series ..

Sum=1+x+x^2+.......+x^n

Solution:

#include<stdio.h>

#include<conio.h>

int power(int p, int b);

main()

      {

       int i,p,sum,term,base;

       printf("\n\tEnter The Base Value:==");

       scanf("%d",&base);

       printf("\n\tEnter The Number Of Terms:==");

       scanf("%d",&term);

       sum=0;

       printf("\n\n\tYour Series..\n\n\t");

       for(i=0;i<=term;i++)

                       {

                        p=power(i,base);

                        sum=sum+p; 

                        printf("+%d^%d",base,i);    

                       }

      printf(":==%d",sum);

      getch();

      }

int power(int p, int b)

    {

     int pow,i;

     pow=1;

     if(p==0)

             {

              return pow;         

             }        

          for(i=1;i<=p;i++)

                           {

                            pow=pow*b;    

                           } 

          return pow;   

    }

 

Find The summation Of The Series ..

Sum=1/2! - 2/4! + 3/6! - 4/8! +... -(-1)^n{n/(2n)!}

Solution:

#include<stdio.h>
#include<conio.h>
int factorial(int f);
main()
      {
       int term,i,fact;
       double sum,oddsum,evensum;
       printf("\n\tEnter The Number Of Terms:==");
       scanf("%d",&term);
       sum=0.0;
       oddsum=0.0;
       evensum=0.0;
       printf("\n\n\tYour Series...\n\n\t");
       for(i=1;i<=term;i++)
                           {
                            fact=factorial(2*i);
                            if(i%2==1)
                                      {
                                       oddsum=(float )i/fact;
                                       printf("+(%d/%d!)",i,2*i);    
                                      }
                           else
                               {
                                  evensum=(float )i/fact;
                                   printf("-(%d/%d!)",i,2*i);     
                               }  
                           }
       sum=oddsum-evensum;
       printf(":== %f",sum);
       getch();      
      }
int factorial(int f)
    {
     int fact,i;
     fact=1;
     for(i=1;i<=f;i++)
                      {
                       fact=fact*i;    
                      }        
     return fact;
    }