Verified Answer :

geometric sequence
\(a_{n}=a_{1}*r^{n-1}\)
r=common ratio
a1=first term
find r

a1=8
a6=-8192
\(-8192=a_{6}=8*r^{6-1}\)
\(-8192=8*r^{5}\)
divide both sides by 8
\(-1024=8*r^{5}\)
take 5th root of both sides
-4=r
sub
\(a_{12}=8*(-4)^{12-1}\)
\(a_{12}=8*(-4)^{11}\)
\(a_{12}=8*-4194304\)
\(a_{12}=-33554432\)

Answer:

−57,395,628

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