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Mathematics
Mathematics
Problem
Let
R
=
(
6
6
+
14
)
2
n
+
1
R = (6\sqrt{6} + 14)^{2n+1}
R
=
(
6
6
+
14
)
2
n
+
1
and
f
=
R
−
[
R
]
f = R - [R]
f
=
R
−
[
R
]
, where
[
.
]
[. ]
[
.
]
denotes the greatest integer function. Find the value of
R
f
Rf
R
f
,
n
∈
N
n \in \mathbb{N}
n
∈
N
.
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