Respuesta :

Let's find the difference between every two numbers. Let's start with 12,500 and -2500. We know this is a multiplication or division problem because of every other number being negative.

-2500/12,500=-0.2; let's see if the product to -2500 and -0.2 is 500. -0.2×-2500=500 500×-0.2=-100; since you only have to multiply the previous number by -.2, let's find the next two numbers.

-100×-0.2=20 20×-0.2=-4

So, the next two numbers in the pattern are 20 and -4.

Answer:

Next two number are 20, -4.

Step-by-step explanation:

Given  : 12,500, -2500, 500, -100.

To find : Find the next two numbers in the pattern.

Solution : We have given

12,500, -2500, 500, -100.

We can see next number is [tex]\frac{-1}{5}th[/tex] of previous number.

[tex]\frac{12500}{-5}[/tex] = -2500

[tex]\frac{-2500}{-5}[/tex] =500.

[tex]\frac{500}{-5}[/tex] =-100 .

So, the next number would be

[tex]\frac{-100}{-5}[/tex] = 20.

Next

[tex]\frac{20}{-5}[/tex] = -4.

Therefore, Next two number are 20, -4.