The answer is : d (2,6,18,54,162)
the geometric sequence formula : a+ ar^1 +ar^2+ar^3+...........
where r= common ratio
the sequence is : 2,6,18,54,162
r = An/An-1 ( as per the formula)
r = 162/54 = 3
r = 54/18 = 3
lly common ratio =3
in the given options the only option d satisfies all the conditions of the geometric sequence
verification :
a= 2
ar^1 = 2*3 = 6
ar^2 = 2*9 =18
ar^3 = 2*27 = 54
ar^4 = 2*81 = 162
hence verified the sequence is 2,6,18,54,162