Y by Adventure10
A sequence of real numbers
is determined by
and the following recurrence relation for
:
![\[4u_{n+1} = \sqrt[3]{ 64u_n + 15.}\]](//latex.artofproblemsolving.com/f/e/5/fe584783ca31a8ddf8cb2d7e1d18d110e3eaa406.png)
Describe, with proof, the behavior of
as 



![\[4u_{n+1} = \sqrt[3]{ 64u_n + 15.}\]](http://latex.artofproblemsolving.com/f/e/5/fe584783ca31a8ddf8cb2d7e1d18d110e3eaa406.png)
Describe, with proof, the behavior of


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