Question 7
Write the numbers 1, 2, 3, 4, 5, and 6 around a circle in clockwise direction. We always start by removing the number 1 and continue to do this process of removing the second remaining number, also in clockwise direction, until the last number remains. For example, Turn 1: Remove Number 1 Turn 2: Keep 2, Remove 3 Turn 3: Keep 4, Remove 5 Turn 4: Keep 6, Remove 2 Turn 5: Keep 4, Remove 6 So, the last remaining number is 4. If the numbers from 1 to 2022 are written on a circle in clockwise direction and the same process is applied, what will be the last number that remains?