# Chapter 5 - Number Theory and the Real Number System - 5.7 Arithmetic and Geometric Sequences - Exercise Set 5.7: 57

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.

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