MHB What is the name for the function in a series?

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In a series, the function being summed is referred to as the addend or summand. The term "argument of the series" is not commonly used for this purpose. The notation \(\sum_{z=0}^{\infty}f(z)\) indicates that \(f(z)\) is the function whose values are being added. Clarifying terminology is important for understanding series in mathematics. Properly identifying \(f(z)\) enhances communication about series functions.
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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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