Grades 9-10 Video Solutions 2023-2023_9-10

Video Transcription

Video Summary

The kangaroo machine generates a sequence by adding the smallest non-negative integer not present in the previous four terms. Starting with 2, 0, 2, 3, it adds 1, 4, 0, 2, 3, 1, 4, etc., forming the repetitive sequence: 0, 2, 3, 1, 4. This sequence repeats every five terms. To find the 2023rd number, note that 2023 equates to 3 mod 5, meaning the 2023rd term matches the 3rd term in the repeating sequence. Therefore, the 2023rd number is 2.

Keywords

kangaroo machine

sequence generation

repetitive sequence

modular arithmetic

2023rd term