MathDB
Problems
Contests
National and Regional Contests
Brazil Contests
Brazil National Olympiad
1993 Brazil National Olympiad
1
Find the perfect squares
Find the perfect squares
Source: Problem 1, Brazil MO 1993
March 18, 2006
AMC
USA(J)MO
USAMO
algebra proposed
algebra
Problem Statement
The sequence
(
a
n
)
n
∈
N
(a_n)_{n \in\mathbb{N}}
(
a
n
)
n
∈
N
is defined by
a
1
=
8
,
a
2
=
18
,
a
n
+
2
=
a
n
+
1
a
n
a_1 = 8, a_2 = 18, a_{n+2} = a_{n+1}a_{n}
a
1
=
8
,
a
2
=
18
,
a
n
+
2
=
a
n
+
1
a
n
. Find all terms which are perfect squares.
Back to Problems
View on AoPS