What is the name for the function in a series?

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SUMMARY

The function in a series, represented as \( f(z) \) in the equation \( \sum_{z=0}^{\infty} f(z) \), is definitively referred to as the "addend" or "summand." These terms are used interchangeably to describe the individual elements being summed in the series. Understanding this terminology is crucial for clear communication in mathematical discussions regarding series and summation.

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Marksl
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I am having trouble describing the function that I am taking sum of in a series. Like in the example \begin{equation} \sum_{z=0}^{\infty}f(z)\end{equation}: What would I call $f(z)$? Would it be the argument of the series?
 
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You could call it the addend (also called a summand).
 

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