Task 4. Ilina drew blue, white, and red circles in the given order. What circle will Ilina draw for the hundredth time?
Solution. The number 100 can be represented in the form $3 \cdot 33 + 1$. This means that in the first 99 drawings, Iliana will draw the blue, white, and red circle 33 times in the given order. Therefore, in the 100th drawing, she needs to draw a blue circle.