I need help understanding how this sequence works

The problematic sequence is:

{1,1/2,1+1/2,1/3,1+1/3,1/2+1/3,1/4,1+1/4,1/2+1/4,1/3+1/4,1/5,...}

I see that whenever n = 2k for every k in positive intergers (n is even) the term is 1/n

However I can't get what happens with odds terms.

Thank you in advance :)