MathDB
Problems
Contests
National and Regional Contests
India Contests
India IOQM
2023-24 IOQM India
10
IOQM 2023-24 P-10
IOQM 2023-24 P-10
Source:
September 3, 2023
IOQM
algebra
Problem Statement
The Sequence
{
a
n
}
n
⩾
0
\{a_{n}\}_{n \geqslant 0}
{
a
n
}
n
⩾
0
is defined by
a
0
=
1
,
a
1
=
−
4
a_{0}=1, a_{1}=-4
a
0
=
1
,
a
1
=
−
4
and
a
n
+
2
=
−
4
a
n
+
1
−
7
a
n
a_{n+2}=-4a_{n+1}-7a_{n}
a
n
+
2
=
−
4
a
n
+
1
−
7
a
n
, for
n
⩾
0
n \geqslant 0
n
⩾
0
. Find the number of positive integer divisors of
a
50
2
−
a
49
a
51
a^2_{50}-a_{49}a_{51}
a
50
2
−
a
49
a
51
.
Back to Problems
View on AoPS