#### Answer

$S_{50}=2550$

#### Work Step by Step

The first n term of an arithmetic sequence can be calculated as:
$S_n=\frac{n}{2}(a_1+a_n)$
We have to find the sum of the even numbers from 2 to 100.
$a_1=2$
$a_{n}=100$
There are 50 even numbers from 2 to 100, inclusive.
Therefore we can substitute in the formula of the sum, and we get:
$S_{50}=\frac{50}{2}(2+100))=25\times102=2550$