MathDB

Numbers in a row

Source: All-Russian 2022 9.3

April 19, 2022

number theory

Problem Statement

200

natural numbers are written in a row. For any two adjacent numbers of the row, the right one is either

9

times greater than the left one,

2

times smaller than the left one. Can the sum of all these 200 numbers be equal to

24^{2022}