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Mathematics
Problem
Consider the series
∑
n
=
0
∞
8
(
0.75
)
3
n
+
1
\displaystyle\sum_{n=0}^{\infty} 8\,(0.75)^{\,3n+1}
n
=
0
∑
∞
8
(
0.75
)
3
n
+
1
. Determine whether the series converges, and if it does, compute its sum.
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