The geometric sequence is found in the relationship between consecutive terms that is constant. In this problem, as I understand it, none of the functions forms a geometric sequence. The functions that form a geometric sequence have the form f (x) = h (a) ^ n where "a" is the constant relation between the successive terms. If you wrote the function "f (x) = - 2 (3/4) x", you wanted to write instead: f (x) = - 2 (3/4) ^ x So that would be the function that forms a geometric sequence, where the relation between the consecutive terms is 3/4. You can test it by dividing f (x) / f (x-1) Then you will see that the result of that division will be 3/4.