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MathNet 2006 — Part 05 Question 21

Math Olympiad Vault · MathNet 2006 — Part 05

Question 21

Compute
$$
\sum_{n=1}^{\infty} \frac{2 n+5}{2^{n} \cdot\left(n^{3}+7 n^{2}+14 n+8\right)}
$$