Se consideră matricele

[tex]A_{k}=\left([tex]\begin{array}{cc}k & 2 k-1 \\ 2^{k}-1 & 3 k^{2}\end{array}\right), B_{k}=\left(\begin{array}{ccc}k & k(k+1) & k^{2}(k+1) \\ k(2 k-1) & 0 & k(k-1)\end{array}\right), k \in \mathbb{N} * .[/tex][/tex]

Să se calculeze sumele [tex]S_{n}=\sum_{k=1}^{n} A_{k}, T_{n}=\sum_{k=1}^{n} B_{k} \cdot[/tex]