geometric sequence
[tex] a_{n}=a_{1}*r^{n-1} [/tex]
r=common ratio
a1=first term
find r
a1=8
a6=-8192
[tex] -8192=a_{6}=8*r^{6-1} [/tex]
[tex] -8192=8*r^{5} [/tex]
divide both sides by 8
[tex] -1024=8*r^{5} [/tex]
take 5th root of both sides
-4=r
sub
[tex] a_{12}=8*(-4)^{12-1} [/tex]
[tex] a_{12}=8*(-4)^{11} [/tex]
[tex] a_{12}=8*-4194304 [/tex]
[tex] a_{12}=-33554432[/tex]
