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MathNet 2012 Question 35

Math Olympiad Vault · MathNet 2012

Question 35

Show that for every natural number $n$ the product
$$
\left(4 - \frac{2}{1}\right) \left(4 - \frac{2}{2}\right) \left(4 - \frac{2}{3}\right) \dots \left(4 - \frac{2}{n}\right)
$$
is an integer.