So based on the given options above, the correct answer would be option E. The explicit formula for the following geometric sequence which is 0.2, -0.06, 0.018, -0.0054, 0.00162, ... would be this: an = 0.2(-0.3)^n-1. When we say geometric sequence, this is the sequence of numbers wherein each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. Hope this answer helps.