third option: 6x+8
step-by-step explanation:
we can see that the given question is a sum of series and the values of n vary from 0 to 3
the first term will be:
when n=0, [(0)*x+2] => (0+2) => 2
when n=1, [(1)*x+2] => (x+2) => x+2
when n=2, [(2)*x+2] => 2x+2
when n=4, [(3)*x+2] => 3x+2
so adding up all the terms will give us:
=2+x+2+2x+2+3x+2
=x+2x+3x+2+2+2+2
=6x+8
so,
third option is the correct answer ..