Question 28
(NET 1) IMO6 Given a real number $a>1$, construct an infinite and bounded sequence $x_0,x_1,x_2,\ldots$ such that for all natural numbers $i$ and $j$, $i\ne j$, the following inequality holds:
$$|x_i-x_j||i-j|^a\ge1.$$
$$|x_i-x_j||i-j|^a\ge1.$$