Verified Answer :

toporc

The nth term of a geometric sequence is found from the following formula:\(n _{th} \ term=a _{1} r^{(n-1)}\)
Substituting the given values into the formula, we get:
\(a _{6} =8r^{5}=-8192\)
\(r^{5}=-1028\)
from which the common ratio r = -4.
Now we can use the value of r to find the required 12th term, as follows:
\(a_{12} =8(-4)^{11}=-33,554,432\)

meerkat18

The value of nth term is calculated by the equation,
                                an = (a1) x r^(n - 1)
Using this equation to find for the common ratio,
                                -8192 = 8 x r^(6 - 1)
The value or r is -4. Using the same equation to find for the 12th term,
                                a12 = 8 x (-4)^(12 - 1)
                                 a12 = -33554432

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