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Mathematics
Mathematics
Problem
Evaluate the series
S
=
∑
n
=
0
∞
7
10
2
n
+
1
S = \sum_{n=0}^{\infty} \frac{7}{10^{2n+1}}
S
=
n
=
0
∑
∞
1
0
2
n
+
1
7
and express
S
S
S
as a fraction in lowest terms.
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