Home/Calculus II/Geometric series/Formula14.3. Geometric seriesFormulaIn 14.3. Geometric seriesFormulaCopy LaTeX∑n=0∞arn\sum_{n=0}^{\infty}ar^nn=0∑∞arnTagsantiderivativetest convergenceseriessequences series series geometricVariablesnnnExponente o índice enteroFound an error? Contact us.Related formulasRelatedFormula∑n=1∞1np{converge,p>1,diverge,p≤1.\sum_{n=1}^{\infty}\frac{1}{n^p} \begin{cases} \text{converge},&p>1,\\ \text{diverge},&p\le1. \end{cases}n=1∑∞np1{converge,diverge,p>1,p≤1.Open formulaOpen in sectionRelatedFormula∑n=0∞arn=a1−r.\sum_{n=0}^{\infty}ar^n=\frac{a}{1-r}.n=0∑∞arn=1−ra.Open formulaOpen in section