Answer
$200$
Work Step by Step
We know that $a_n=a_1+(n-1)d.$
where $d$=common difference and $a_1$= the first term
Here $a_1=2$ and $d=a_2-a_1=2$
Hence, here we have
$a_n=2+(n-1)\cdot2.$
Therefore $a_{100}=2+(100-1)\cdot2\\=200.$