3-ча 2. See problem 2 for 9th grade.

3-ча 3. Given 100 numbers \(a_{1}, a_{2}, a_{3}, \ldots, a_{100}\), satisfying the conditions:

\[
\begin{array}{r}
a_{1}-4 a_{2}+3 a_{3} \geqslant 0, \\
a_{2}-4 a_{3}+3 a_{4} \geqslant 0, \\
a_{3}-4 a_{4}+3 a_{5} \geqslant 0, \\
\ldots \\
\ldots \\
\ldots \\
a_{99}-4 a_{100}+3 a_{1} \geqslant 0, \\
a_{100}-4 a_{1}+3 a_{2} \geqslant 0
\end{array}
\]

It is known that \(a_{1}=1\), determine \(a_{2}, a_{3}, \ldots, a_{100}\).
Solve 3. Answer: \(a_{1}=a_{2}=\cdots=a_{100}=1\). See the solution to problem 3 for 9th grade.