Question

PLEASE HELP!!!

Identify the 12th term of a geometric sequence where a1 = 8 and a6 = -8,192.

a) 134,217,728
b) 33,554,432
c) -33,554,432
d) -134,217,728

Answer 1

\(a_1 = a_1\)
\(a_2 = a_1 r \)
\(a_3 = a_2r = a_1 r^2\)
\(a_4 = a_3r = a_1r^3 \)
...
\(a_n = a_1r^{n - 1} \)

Using the equation above, and the given \(a_1\) and \(a_6\), find \(r\). Then using \(r\) and the equation again, find \(a_{12}\).