1. **State the problem:** Find the 8th term of the geometric sequence 8, 16, 32, ...
2. **Identify the first term and common ratio:** The first term $a_1 = 8$.
The common ratio $r$ is found by dividing the second term by the first term:
$$r = \frac{16}{8} = 2$$
3. **Formula for the $n$th term of a geometric sequence:**
$$a_n = a_1 \times r^{n-1}$$
4. **Apply the formula to find the 8th term:**
$$a_8 = 8 \times 2^{8-1} = 8 \times 2^7$$
5. **Calculate $2^7$:**
$$2^7 = 128$$
6. **Multiply to get the 8th term:**
$$a_8 = 8 \times 128 = 1024$$
**Final answer:** The 8th term of the sequence is $1024$.
Geometric Sequence 89Faa9
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