Question 3
Prove that the product of the first 2013 terms of the sequence
$$
a_n = 1 + \frac{1}{n^3}
$$
is less than 3.
$$
a_n = 1 + \frac{1}{n^3}
$$
is less than 3.
MathNet 2013 Question 3
Math Olympiad Vault · MathNet 2013
Math Olympiad Vault · MathNet 2013