### Differance between sum square and square sum

**question:**

The sum of the squares of the first ten natural numbers is,

Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.

#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:

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 385 = 2640.^{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**
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