Y by centslordm, megarnie, jasperE3, rightways
Let
be an infinite sequence of real numbers in the interval
. Show that there exists a number that occurs exactly once in the sequence
![\[ \frac{a_1}{1},\frac{a_2}{2},\frac{a_3}{3},\frac{a_4}{4},\ldots.\]](//latex.artofproblemsolving.com/3/c/e/3cef10f63e9c2dde90b29c742ece8fd31e0a8e94.png)
Merlijn Staps


![\[ \frac{a_1}{1},\frac{a_2}{2},\frac{a_3}{3},\frac{a_4}{4},\ldots.\]](http://latex.artofproblemsolving.com/3/c/e/3cef10f63e9c2dde90b29c742ece8fd31e0a8e94.png)
Merlijn Staps
This post has been edited 4 times. Last edited by pad, Nov 8, 2021, 5:33 PM