Home/Calculus II/Series and partial sums/Formula14.2. Series and partial sumsFormulaIn 14.2. Series and partial sumsFormulaCopy LaTeX∑n=1∞an\sum_{n=1}^{\infty}a_nn=1∑∞anTagsantiderivativetest convergenceseriessequences series series and sums partialExplore the ideaExplore the ideaVariablesaaaConstante real (a menudo a>0a>0a>0)nnnExponente o índice enteroFound an error? Contact us.Related formulasRelatedFormulasN=∑n=1Nans_N=\sum_{n=1}^{N}a_nsN=n=1∑NanOpen formulaOpen in sectionRelatedNecessary condition:∑an converge⟹limn→∞an=0.\sum a_n\text{ converge}\quad\Longrightarrow\quad \lim_{n\to\infty}a_n=0.∑an converge⟹n→∞liman=0.Open formulaOpen in section