In order to find the answer, we have to find common difference for each.
Option 1.
first difference= 3-(-1) =4
second difference = -3-3=-6
here we dont have a fixed common difference, so its not an arithmetic series.
Option 2.
first difference= -2-2=-4
second difference = -6-(-2) = -4
third difference = -10-(-6) =-4
here we have a fixed common difference, so its an arithmetic series.
Option second is the correct answer