Differance between sum square and square sum
question:
The sum of the squares of the first ten natural numbers is,
385 = 2640.
Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.
answer:
#include
#include
void main()
{
long int i,sum=0,sq=0;
clrscr();
for(i=0;i<=100;i++)
{
sum=sum+i;
sq=sq+(i*i);
}
printf("sum sq=%ld,sq=%ld,diff=%ld",sum*sum,sq,(sum*sum)-sq);
printf("over");
getch();
}
output:25164150
1
The square of the sum of the first ten natural numbers is, 2 + 2 2 + ... + 10 2 = 385(1 + 2 + ... + 10)
Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025 2 = 55 2 = 3025Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.
answer:
#include
#include
void main()
{
long int i,sum=0,sq=0;
clrscr();
for(i=0;i<=100;i++)
{
sum=sum+i;
sq=sq+(i*i);
}
printf("sum sq=%ld,sq=%ld,diff=%ld",sum*sum,sq,(sum*sum)-sq);
printf("over");
getch();
}
output:25164150
0 comments:
Post a Comment