![\"\"](\"/userfiles/image/steps_images/step1.JPG\")
If the geometric sequence is convergent or divergent depends on the value of the common ratio.
\When the value of the common ratio ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=f2a5d7e192e52fe01d7d9c4b1248bbc3.png\")
the geometric sequence is convergent and the sum is a negative number.
The value of the common ratio ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=02b15ebbf7383f3fbc050d5f1c1180e7.png\")
the geometric sequence is divergent and the series has no sum.
Therefore, the statement is sometimes true.
\![\"\"](\"/userfiles/image/steps_images/solution.JPG\")
The statement is sometimes true.