Can $ 1$ be written as a sum of $ 2005$ different terms of the form $ \frac{1}{3n-1},$ where $ n$ is a positive integer?
Source: Ukraine 2005 grade 9
Tags: number theory unsolved, number theory
Can $ 1$ be written as a sum of $ 2005$ different terms of the form $ \frac{1}{3n-1},$ where $ n$ is a positive integer?