The three consecutive terms of a G.p are the second third and sixth terms of A.p. find the common ratio of the G.p. (G.p = geometric progression, A.p = arithmetic progression)
If you take these terms as your geometric progression: 2, 6, 18 [a = 2, r = 3]
and you take these terms as your arithmetic progression: -2, 2, 6, 10, 14, 18 [a = -2, d = 4]
then the 2nd, 3rd, and 6th terms of the arithmetic progression are the three consecutive terms of the geometric progression.