A geometric sequence is defined by a sequence whose terms have a common ratio r.
Given the sequence 9,-6,4,-8/3,... we find the ratio between terms to be r=-2/3.
(-6/9=-2/3, 4/-6=-2/3, (-8/3)/4=-2/3) so the sequence is geometric with a common ratio r=-2/3.
** It is important to note that there are an infinite number of sequences beginning with 9,-6,4,-8/3,..., only one of which is geometric.**
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