So tonight there was a new episode of Futurama. The professor created something that could create 2 copies of something. Bender got ahold of it, and started duplicating himself. Bender duplicated himself once, giving 3 benders. Then those 2 duplicates duplicated themselves, giving 7 benders and so on ad infinitum. During the episode, they gave the infinite series as 2n[m0/(2n(n+1)] Which I don't think works. The 2n cancel out and you're left with gibberish. Even leaving it unsimplified doesn't work. Do I have a poor understanding of infinite series or is it a mistake?