Is there a mathematics term for the equivalent of "stanza"? By this I mean a repeated unit of similar properties, but not exactly the same. For example $$ f(x)=(1-\frac{1}{2}-\frac{1}{4})+(\frac{1}{3}-\frac{1}{6}-\frac{1}{8})+(\frac{1}{5}-\frac{1}{10}-\frac{1}{12})+... $$ Here the brackets are deliberately put in so show the "stanza", even though they aren't necessary the same expression.
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1I would just call those the terms. – Qiaochu Yuan Sep 08 '17 at 01:57
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I don't know of a term, but you could highlight the similarity with something like: $g(x)=\frac1{2x-1}-\frac1{4x-2}-\frac1{4x}$ giving $f(x)=g(1)+g(2)+g(3)+\dots$. BTW, $f(x)$ doesn't seem to depend on $x$. – Χpẘ Sep 08 '17 at 02:23