Summa

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

Un summa es le resultato de un addition. Anque le resultato de un serie es un summa. Pro additiones longe e regular, on usa le symbolo $\Sigma$, lege: sigma.

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

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

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

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