Identify a pattern in the list of numbers. Then use this pattern to find the next number.

4
​,
negative 20
​,
100
​,
negative 500
​,
2500
​,
​___

-12500

Just stating an answer without any explanation or solution serves absolutely not purpose, and does not help the student who asked the question !!

I apologize for the incomplete response earlier. Here is a step-by-step explanation:

Looking at the numbers, we can see that each subsequent number is obtained by multiplying the previous number by -5.

- Starting with 4, the next number is -5 times 4, which gives us -20.
- The third number is -5 times -20, which gives us 100.
- The fourth number is -5 times 100, which gives us -500.
- The fifth number is -5 times -500, which gives us 2500.

Using the same pattern, we can find the sixth number by multiplying 2500 by -5, which gives us -12500.

Therefore, the next number in the sequence is -12500.

To identify a pattern, let's consider the relationship between the numbers in the given list:

Starting with 4, the subsequent numbers are obtained by multiplying the previous number by -5:
4 * -5 = -20
-20 * -5 = 100
100 * -5 = -500
-500 * -5 = 2500

Therefore, the pattern is that each number is obtained by multiplying the previous number by -5.

To find the next number, we will multiply 2500 by -5:
2500 * -5 = -12500

Hence, the next number in the pattern is -12500.

To identify the pattern in the list of numbers, let's analyze the relationship between consecutive numbers:

Starting with 4:
- From 4 to negative 20, we multiply by -5.
- From negative 20 to 100, we multiply by -5 again.
- From 100 to negative 500, we multiply by -5 once more.
- From negative 500 to 2500, we multiply by -5 again.

So it seems that the pattern is to multiply each number by -5. To find the next number, we'll multiply 2500 by -5:

2500 * -5 = -12500

Therefore, the next number in the pattern is -12500.