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PEN Problems
PEN M Problems
9
9
Part of
PEN M Problems
Problems
(1)
M 9
Source:
5/25/2007
An integer sequence
{
a
n
}
n
≥
1
\{a_{n}\}_{n \ge 1}
{
a
n
}
n
≥
1
is defined by
a
1
=
2
,
a
n
+
1
=
⌊
3
2
a
n
⌋
.
a_{1}=2, \; a_{n+1}=\left\lfloor \frac{3}{2}a_{n}\right\rfloor.
a
1
=
2
,
a
n
+
1
=
⌊
2
3
a
n
⌋
.
Show that it has infinitely many even and infinitely many odd integers.
floor function
Recursive Sequences