I don't get it. How does $\sum_{j=1}^m\frac{1}{m}=1$? This looks like a harmonic series. I got this from brilliant.org, the website that trains students for AMC, AIME, Olympiad type of problems. This was the original problem:
and this was the solution:
I just don't get this part:
I deeply apologize if its something trivial. Its been a while since my last math class in linear algebra. Any hint would be appriciated!
2026-02-25 11:19:33.1772018373
Harmonic Series sums to One?
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$$\sum_{j=1}^m\frac1m\ne\sum_{j=1}^m\frac1j.$$