# What is the next term in the sequence 1/8, 1/4, 1/2, ..?

Apr 7, 2018

1

#### Explanation:

The sequence appears to have the following structure:
$S = \frac{1}{2} ^ 3 , \frac{1}{2} ^ 2 , \frac{1}{2} ^ 1 , \ldots$.

The next term in our sequence, then, should be $\frac{1}{2} ^ 0 = \frac{1}{1} = 1$.

Note: This sequence would then continue ..., $\frac{1}{2} ^ 0 , \frac{1}{2} ^ - 1 , \frac{1}{2} ^ - 2 , \ldots = \ldots , 1 , 2 , 4 , \ldots$.