2018 IMO Problems/Problem 5
Let be an infinite sequence of positive integers. Suppose that there is an integer
such that, for each
, the number
is an integer. Prove that there is a positive integer
such that
for all
Let be an infinite sequence of positive integers. Suppose that there is an integer
such that, for each
, the number
is an integer. Prove that there is a positive integer
such that
for all