Question 52
Given a decimal fraction $d$ such that there are only digits 0, 1, and 2 in its decimal representation. It is known that if each 0 in the decimal representation of $d$ are replaced by 1, then the obtained decimal fraction is periodic; if each 1 in the decimal representation of $d$ are replaced by 2, then the obtained decimal fraction is periodic too.
Can one claim that the decimal fraction $d$ is periodic ?
(M. Karpuk)
Can one claim that the decimal fraction $d$ is periodic ?
(M. Karpuk)