Question

The next two numbers in the series, 32000, 8000, 2000, 500 are

Answer 1

$32000 \div 4 = 8000$
$8000 \div 4 = 2000$
$2000 \div 4 = 500$
$500 \div 4 = 125$
$125 \div 4 = 31.25$

Answer 2

The next two numbers in the series are 125 and 31.25.

What is a geometric progression?

A geometric Progression (GP) is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio.

A geometric sequence is an exponential function whose domain is the set of positive integers, and the common ratio is the base of the function.

For the given situation,

The series is 32000, 8000, 2000, 500.

⇒ $\frac{32000}{4} =8000$

⇒ $\frac{8000}{4}=2000$

⇒ $\frac{2000}{4}=500$

This series follows the geometric progression and has a common ratio of 4.

Thus the next two terms are

⇒ $\frac{500}{4}=125$

⇒ $\frac{125}{4}=31.25$

Hence we can conclude that the next two numbers in the series are 125 and 31.25.

Learn more about geometric progression here

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