Y by cubres
Define a sequence
by the recurrence
for all
, with initial values
,
, where
.
Show that for any integers
, there exists a positive integer
such that
for all integers
.

![\[
a(n) = \left| a(n-1) - a(n-2) \right|
\]](http://latex.artofproblemsolving.com/e/7/9/e7981725c3dfd9fd1a0e22c17eded1a4cde84e9f.png)




Show that for any integers


![\[
a(i) = a(i+3)
\]](http://latex.artofproblemsolving.com/d/c/7/dc75144ca27873b2420e79b5e8f045be864a4c2e.png)

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