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2019 IMC
4
4
Part of
2019 IMC
Problems
(1)
IMC 2019 day 1 problem 4
Source: IMC 2019 Day 1 P4
7/30/2019
Let
(
n
+
3
)
a
n
+
2
=
(
6
n
+
9
)
a
n
+
1
−
n
a
n
(n+3)a_{n+2}=(6n+9)a_{n+1}-na_n
(
n
+
3
)
a
n
+
2
=
(
6
n
+
9
)
a
n
+
1
−
n
a
n
and
a
0
=
1
a_0=1
a
0
=
1
and
a
1
=
2
a_1=2
a
1
=
2
prove that all the terms of the sequence are integers
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