1. **State the problem:** We have a geometric sequence where the first term $a_1 = 6$ and the second term $a_2 = 18$. We need to find the 8th term $a_8$.
2. **Recall the formula for the $n$th term of a geometric sequence:**
$$a_n = a_1 \times r^{n-1}$$
where $r$ is the common ratio.
3. **Find the common ratio $r$:**
Since $a_2 = a_1 \times r$, we have
$$18 = 6 \times r$$
Divide both sides by 6:
$$\cancel{6} \times r = \frac{18}{\cancel{6}}$$
$$r = 3$$
4. **Calculate the 8th term $a_8$:**
$$a_8 = 6 \times 3^{8-1} = 6 \times 3^7$$
Calculate $3^7$:
$$3^7 = 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 = 2187$$
So,
$$a_8 = 6 \times 2187 = 13122$$
5. **Final answer:** The 8th term is $\boxed{13122}$, which corresponds to option c.
Geometric Term 9993E4
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