We need to find the 8th term of the given geometric sequence.
The 8th term of the geometric sequence is -15309.
First term = \(a=7\)
Required term = \(n=8\)
Common ratio = \(r=\dfrac{-21}{7}=\dfrac{63}{-21}=-3\)
The nth term is given by
\(a_n=ar^{n-1}\\\Rightarrow a_8=7\times (-3)^{8-1}\\\Rightarrow a_8=7\times (-3)^{7}\\\Rightarrow a_8=-15309\)
Hence, the 8th term of the geometric sequence is -15309.
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