Answer:
The 12th term of the geometric sequence is: -6144
Step-by-step explanation:
We need to find r, and we have some information:
\(a_2:-6\) y \(a_6=-96\)
\(a_2:a_6=r^4\) because (6-2=4)
\(-6:-96 =r^4\\r^4=16\) because -96/-6=16
\(r=\sqrt[4]{16}\\r=2\)
The equation to find the n term is:
\(a_n=-3*2^n^-^1\)
Now, we need to find \(a_1_2\)
\(a_1_2=-3*2^1^2^-^1\\a_1_2=-3*2^1^1\\a_1_2=-3*2048\\a_1_2=-6144\)
