QuestionIdentify the explicit formula for the geometric sequence: $0.5, -0.1, 0.02, -0.004, 0.0008, \ldots$ from the options.

Studdy Solution
Plug in the values for $a_{1}$ and $r$ to get the explicit formula.
$$a_{n} =0.5(-0.2)^{(n-1)}$$So, the explicit formula for the given geometric sequence is $a_{n} =0.5(-0.2)^{(n-1)}$.
Comparing this with the given options, we see that the correct answer is. $a_{n}=0.5(-0.2)^{(n-1)}$.