The value of the unknown variable x by virtue of the geometric sequence given in the task content is; -27.
What is a geometric sequence and what is the value of x in the sequence given?
It follows from the task content above that the variable given above is a member of the geometric sequence.
Hence, since it follows from convention that the geometric sequence in discuss has same common difference across each successive term and hence , we have;
3/x = (-1/3) ÷ 3
x = -27.
Therefore, the value of the unknown variable x by virtue of the geometric sequence given in the task content is; -27.
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