Question

MATEMATICA
SA SE CALCULEZE SUMELE
Sn=1+3+5+7+.....+(2n+1)

Answer 1

$1+3+5+...+(2n+1)=\sum_{k=0}^{n}(2k+1)=\sum_{k=0}^{n}2k+\sum_{k=0}^{n}1$
$=(n+1)+2\sum_{k=0}^{n}k=n+1+2\frac{n(n+1)}{2}=(n+1)+n(n+1)$
$=(n+1)^2$
Posibil sa fi gresit la calcul undeva.