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.
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
12 + 22 + ... + 102 = 385
The square of the sum of the first ten natural numbers is,(1 + 2 + ... + 10)2 = 552 = 3025
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.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
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