Answer
Arithmetic
Sum: $2550$
Work Step by Step
We are given the sequence:
$2,4,6,8,.....$
Compute the difference between two consecutive terms:
$4-2=6-4=8-6=2$
As the difference between any consecutive terms is constant, the sequence is ARITHMETIC. Determine its first element and common difference:
$a_1=2$
$d=2$
Compute the sum of the first 50 terms:
$S_n=\dfrac{n(2a_1+(n-1)d)}{2}$
$S_{50}=\dfrac{50\left(2\left(2\right)+(50-1)\left(2\right)\right)}{2}=2550$
