C PROGRAM TO CALCULATE THE FOLLOWING SUM: Sum=1-x2/2! +x4/4!-x6/6!+x8/8!-x10/10!

/* Write a C program to calculate the following Sum:
Sum=1-x2/2! +x4/4!-x6/6!+x8/8!-x10/10!
*/

#include <stdio.h>
#include <math.h>

void main()
{
int counter,f_coun;
float sum=0,x,power,fact;
clrscr();

printf("<-----------------------PROGRAM FOR SUM OF EQ. SERIES----------------------->");
printf("\n\n\tEQUATION SERIES : 1- X^2/2! + X^4/4! - X^6/6! + X^8/8! - X^10/10!");

printf("\n\n\n\tENTER VALUE OF X : ");
scanf("%f",&x);

for(counter=0, power=0; power<=10; counter++,power=power+2)
{
fact=1;
//CALC FACTORIAL OF POWER VALUE
for(f_coun=power; f_coun>=1; f_coun--)
        fact *= f_coun;
//EQ. FOR SUM SERIES
sum=sum+(pow(-1,counter)*(pow(x,power)/fact));
}

printf("SUM : %f",sum);
getch();

}

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C PROGRAM TO FIND THE SUM OF INDIVIDUAL DIGITS OF A POSITIVE INTEGER

/* Write a C program to find the sum of individual digits of a positive integer.*/


#include<stdio.h>
#include<conio.h>


void main()
{
  int num, k=1, sum=0;
  clrscr();
  printf("Enter the number whose digits are to be added:");
  scanf("%d",&num);
while(num!=0)
{
  k=num%10;
  sum=sum+k;
  k=num/10;
  num=k;
}
printf("Sum of the digits:%d",sum);
getch();
}

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PROGRAM TO GENERATE ALL THE PRIME NUMBERS BETWEEN 1 AND N,WHERE N IS A VALUE SUPPLIED BY THE USER

/* Write a C program to generate all the prime numbers between 1 and n, where n is a value supplied by the user. */


#include <stdio.h>


void main()
{
int no,counter,counter1,check;
clrscr();
printf("<-----------------------PRIME NO. SERIES------------------------>");
printf("\n\n\n\t\t\tINPUT THE VALUE OF N: ");
scanf("%d",&no);
printf("\n\nTHE PRIME NO. SERIES B/W 1 TO %d : \n\n",no);


for(counter = 1; counter <= no; counter++)
{
 check = 0;
 //THIS LOOP WILL CHECK A NO TO BE PRIME NO. OR NOT.


 for(counter1 = counter-1; counter1 > 1 ; counter1--)
   if(counter%counter1 == 0)
   {
    check++;        // INCREMENT CHECK IF NO. IS NOT A PRIME NO.
    break;
   }
   if(check == 0)
   printf("%d\t",counter);
}
getch();
}

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PROGRAM TO FIND THE FIBONACCI SERIES UP TO N NO. IN SERIES

/* A Fibonacci Sequence is defined as follows: the first and second terms in the sequence are 0 and 1. Subsequent 
terms are found by adding the preceding two terms in the sequence. Write a C program to generate
the first n terms of the sequence.
*/


#include <stdio.h>


void main()
{
int num1=0, num2=1,no,counter,fab;
clrscr();


printf("<===========PROGRAM TO FIND THE FIBONACCI SERIES UP TO N NO. IN SERIES=========>");
printf("\n\n\n\t\tENTER LENGTH OF SERIES (N) : ");
scanf("%d",&no);


printf("\n\n\t\t\t<----FIBONACCI SERIES---->");
printf("\n\n\t\t%d  %d",num1,num2);


//LOOP WILL RUN FOR 2 TIME LESS IN SERIES AS THESE WAS PRINTED IN ADVANCE
for(counter = 1; counter <= no-2; counter++)
{
fab=num1 + num2;
printf("  %d",fab);
num1=num2;
num2=fab;
}
getch();
}

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