14.观察下列等式:
$1^{2}=1$
$1^{2}-2^{2}=-3$
$1^{2}-2^{2}+3^{2}=6$
$1^{2}-2^{2}+3^{2}-4^{2}=-10$
照此规律,第 n 个等式可为 $\_\_\_\_$.
Answer key
$1^{2}-2^{2}+3^{2}-4^{2}+\cdots+(-1)^{n+1} n^{2}=(-1)^{n+1} \cdot \frac{n(n+1)}{2}\left(n \in N^{*}\right)$,