Identify a pattern in the given list of numbers. Then use this pattern to find the next number. (More than one pattern might exist, so it is possible that there is more than one correct answer.) $$ 1, \frac{1}{5}, \frac{1}{25}, \frac{1}{125} $$,

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Let's analyze the given sequence of numbers:

$$
1, \frac{1}{5}, \frac{1}{25}, \frac{1}{125}
$$

1. **Identify the pattern:**
   - The first term is $$1$$, which can be expressed as $$\frac{1}{5^0}$$.
   - The second term is $$\frac{1}{5}$$, which can be expressed as $$\frac{1}{5^1}$$.
   - The third term is $$\frac{1}{25}$$, which can be expressed as $$\frac{1}{5^2}$$.
   - The fourth term is $$\frac{1}{125}$$, which can be expressed as $$\frac{1}{5^3}$$.

From this, we can see that the $$n$$-th term of the sequence can be represented as:

$$
a_n = \frac{1}{5^{n-1}}
$$

where $$n$$ is the position of the term in the sequence (starting from $$n=1$$).

2. **Finding the next number:**
   - To find the next term, we need to calculate $$a_5$$:

$$
a_5 = \frac{1}{5^{5-1}} = \frac{1}{5^4}
$$

Now, we calculate $$5^4$$:

$$
5^4 = 625
$$

Thus,

$$
a_5 = \frac{1}{625}
$$

3. **Conclusion:**
The next number in the sequence is

$$
\frac{1}{625}
$$

This follows the identified pattern of the sequence.
The next number in the sequence is $$ \frac{1}{625} $$.

Identify a pattern in the given list of numbers. Then use this pattern to find the next number. (More than one pattern might exist, so it is possible that there is more than one correct answer.) \( 1, \frac{1}{5}, \frac{1}{25}, \frac{1}{125} \),

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