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Mathematics
Mathematics
Problem
Find the value of
n
n
n
such that
(
a
n
+
1
+
b
n
+
1
a
n
+
b
n
)
\left(\frac{a^{n+1} + b^{n+1}}{a^n + b^n}\right)
(
a
n
+
b
n
a
n
+
1
+
b
n
+
1
)
is the geometric mean between
a
a
a
and
b
b
b
.
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