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Mathematics
Problem
Let
⟨
u
n
⟩
\langle u_n \rangle
⟨
u
n
⟩
and
⟨
v
n
⟩
\langle v_n \rangle
⟨
v
n
⟩
be two sequences and for any positive integer
n
n
n
,
u
n
+
1
=
u
n
−
v
n
u_{n+1} = u_n - v_n
u
n
+
1
=
u
n
−
v
n
and
v
n
+
1
=
u
n
+
v
n
v_{n+1} = u_n + v_n
v
n
+
1
=
u
n
+
v
n
. If
u
2024
=
2
1012
u_{2024} = 2^{1012}
u
2024
=
2
1012
and
v
2024
=
2
1013
v_{2024} = 2^{1013}
v
2024
=
2
1013
, then
(
v
1
+
2
u
1
)
(v_1 + 2u_1)
(
v
1
+
2
u
1
)
is equal to. (A) 1 (B) 3 (C) 5 (D) 0.
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