2024 Author: Malcolm Clapton | [email protected]. Last modified: 2023-12-17 03:44
The girl acts according to the algorithm. Find out which finger the counting will end on.
A little girl counts on the fingers of her left hand from 1 to 1,000. She starts with the thumb - 1, then the index - 2, the middle - 3, the ring - 4, the little finger - 5. Then she changes direction and counts further as follows: ring - 6, medium - 7, index - 8, large - 9, index - 10, and so on. If the girl continues the process according to her method, on which finger will she complete the sequence?
On the index. Here's how finger counting begins:
The table shows that the path from the thumb and back takes 8 counts. To understand on which finger the girl will call the number 1000, you need to find the remainder of dividing it by 8. It is equal to 0.
This means that when the girl counts to 1,000, she will stop at the index finger. She will appear on it every time she calls a number that is a multiple of 8.
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The original problem can be viewed in the book "" by A. Levitin and M. Levitina.
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