Question

classify the following sequence:
32, 16, 8, 4, ...
neither
geometric
arithmetic

Explanation:

Step1: Check for arithmetic sequence

To check if it's arithmetic, we find the difference between consecutive terms.
$16 - 32 = -16$, $8 - 16 = -8$, $4 - 8 = -4$. The differences are not constant, so it's not arithmetic.

Step2: Check for geometric sequence

To check if it's geometric, we find the ratio between consecutive terms.
$\frac{16}{32} = \frac{1}{2}$, $\frac{8}{16} = \frac{1}{2}$, $\frac{4}{8} = \frac{1}{2}$. The ratio is constant ($r = \frac{1}{2}$), so it's a geometric sequence.

Answer:

geometric