Answer
$512$
Work Step by Step
We know that $a_n=a_1r^{n-1}.$
where $r$=common ration (we can get this by dividing any two consecutive terms) and $a_1$= the first term
Here $a_1=-1$ and $r=\frac{a_2}{a_1}=\dfrac{2}{-1}=-2$
Hence, here we have
$a_n=-1(2)^{n-1}.$
Therefore $a_{10}=-1(2)^{10-1}\\=512.$