Summa

Un summa^[1] es le resultato de un addition. Anque le resultato de un serie es un summa. Pro additiones longe e regular, on usa le symbolo ${\displaystyle \Sigma }$, lege: sigma.

Summa
instantia de: iterated binary operation[*], algebra, operation[*]
subclasse de: weighted sum[*], operation result[*]
parte de: mathematica, addition
Commons: Summation

Per exemplo, ${\displaystyle \sum _{i=1}^{6}i=1+2+3+4+5+6=21}$.

In general, pro omne ${\displaystyle n\in \mathbb {N} }$ es ver ${\displaystyle \sum _{i=1}^{n}i={\frac {n(n+1)}{2}}}$.

In le exemplo: ${\displaystyle \sum _{i=1}^{6}i={\frac {6(6+1)}{2}}={\frac {6\cdot 7}{2}}={\frac {42}{2}}=21}$.

Un altere exemplo: ${\displaystyle \sum _{i=1}^{100}i={\frac {100(100+1)}{2}}=5050}$.

Referentias

1. Derivation (in ordine alphabetic): (ca) Sumatori || (de) Summe || (en) Summation || (es) Sumatorio || (fr) Somme (arithmétique) || (it) Sommatoria || (pt) Somatório || (ro) Sumă || (ru) Сумма (математика)