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3
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2021 Team P3
Source:
March 2, 2021
algebra
Problem Statement
Evaluate
∑
i
=
0
∞
7
i
(
7
i
+
1
)
(
7
i
+
7
)
\sum_{i=0}^{\infty}\frac{7^i}{(7^i+1)(7^i+7)}
i
=
0
∑
∞
(
7
i
+
1
)
(
7
i
+
7
)
7
i
Proposed by Connor Gordon
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