Shapovalov A.v.

There are 100 numbers. When each of them was increased by 1, the sum of their squares did not change. Each number was increased by 1 again.

Will the sum of the squares change this time, and if so, by how much?
$(a+2)^{2}-(a+1)^{2}=(a+1)^{2}-a^{2}+2$. Therefore, the second change is 2$\cdot$100 greater than the first.

## Answer

It will increase by 200.

Problem