# 2. CONDITION

The sum of several numbers is equal to 1. Can the sum of their squares be less than $0.01 ?$
Solution. If, for example, each of the $n$ numbers is equal to $1 / n$, then the sum of these numbers is 1, and the sum of their squares is $1 / n$ and for $n>100$ the sum of the squares will be less than $0.01$.

Answer: it can.