I came at a solution doing the following: Well, I know this: 1 = 1/2 + 1/2 We're trying to get to 5 terms. So let's split 1/2 into two terms. 1 =

I came at a solution doing the following: Well, I know this: 1 = 1/2 + 1/2 We're trying to get to 5 terms. So let's split 1/2 into two terms. 1 = 1/2 + 1/4 + 1/4 Hmm, let's do that again - this time splitting 1/4. 1 = 1/2 + 1/4 + 1/8 + 1/8 Ok, I'm pretty close. Can I split 1/8 into 1/9 and some mystery term? 1 = 1/2 + 1/4 + 1/8 + 1/9 + 1/N Well, that's not hard to solve. N = 72. 1 = 1/2 + 1/4 + 1/8 + 1/9 + 1/72