for example
sequence: $1/(2^n), \qquad n\ge 0$
sequence for the series: $1, 1.5, 1.75, 1.875, \ldots$
and if so, does that mean you can use/extend sequence theorems for series?
2026-04-02 07:33:34.1775115214
can you consider a series to be a sequence of sums?
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Yes in fact that is what a series is considered to be. When you ask about convergence of a series all you are really asking about is the convergence of its sequence of partial sums.