Question

(This is for matlab or similar programs to matlab)

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

1^2+ 2^2+...+ 10^2= 385

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

(1 + 2 +...+ 10)^2= 55^2= 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 1

sumOfSquares = 0;
squareOfSums = 0;
for i=1:100
    sumOfSquares = sumOfSquares + i^2;
    squareOfSums = squareOfSums + i;
end
squareOfSums = squareOfSums^2;
fprintf("%d\n",squareOfSums-sumOfSquares);

25164150