### Harmonic Series

Posted:

**Tue May 03, 2011 8:17 pm**Hello, I'm just reading my text on harmonic series and I'm just having trouble where they explain the inequalities. For examples:

s

s

So my question is, where are they getting the two halves in s

s

_{2}= 1 + 1/2 > 1/2 + 1/2 = 2/2s

_{4}= s_{2}+ 1/3 + 1/4 > s_{2}+ (1/4 + 1/4) = s_{2}+ 1/2 > 3/2So my question is, where are they getting the two halves in s

_{2}and the two quarters in s_{4}? Or how do they know to compare the partial sums to those numbers?