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National and Regional Contests
PEN Problems
PEN N Problems
2
N 2
N 2
Source:
May 25, 2007
More Sequences
Problem Statement
Let
a
n
a_{n}
a
n
be the last nonzero digit in the decimal representation of the number
n
!
n!
n
!
. Does the sequence
a
1
a_{1}
a
1
,
a
2
a_{2}
a
2
,
a
3
a_{3}
a
3
,
⋯
\cdots
⋯
become periodic after a finite number of terms?
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