The 6th term of the geometric sequence is:
[tex]a_6=-1458[/tex]
We know that the nth term of a geometric sequence is given by the formula:
[tex]a_n=a_1\cdot r^{n-1}[/tex]
where [tex]a_1[/tex] is the first term of the sequence and r is the common ratio of the sequence and [tex]a_n[/tex] is the nth term of a sequence.
Also,
[tex]a_=-6[/tex]
and [tex]r=3[/tex]
Hence, we get:
[tex]a_6=-6\times (3)^{6-1}\\\\\\a_6=-6\times 3^5\\\\\\a_6=-1458[/tex]
Hence, the answer is:
-1458
