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MathNet 2008-part-05 — 164 problems (EN–VI) Question 78

Math Olympiad Vault · MathNet 2008-part-05 — 164 problems (EN–VI)

Question 78

Evaluate the infinite sum
$$
\sum_{n=0}^{\infty} \binom{2 n}{n} \frac{1}{5^{n}}
$$