Answer
$-\frac{1}{16}, \frac{1}{4}, -1, 4, -16, 64$
Work Step by Step
Write the first six terms by multiplying by the common ratio $-4$ to get the next term. The problem tells us that we start at -1/16.
$-\frac{1}{16}, \frac{4}{16}=\frac{1}{4}, -\frac{4}{4}=-1, 4, -16, 64$
Because we are multiplying by a negative, the terms alternate between negative and positive.