Answer
The first six terms of the geometric sequence are:
$2000, -2000, 2000, -2000, 2000, -2000$
Work Step by Step
Write the first six terms by multiplying by the common ratio $-1$ to get the next term, starting at 2000.
$2000, -2000, 2000, -2000, 2000, -2000$
Because we are multiplying by a negative, the terms alternate between negative and positive.