UA-UMO 2005 Problem 95

Can $1$ be written as a sum of $2005$ different terms of the form $\frac{1}{3n-1},$ where $n$ is a positive integer?

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.