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

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

3 answers

-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.