Directions: Identify the number that completes the pattern in the given series.

8000, ?, 4000, 6000, 12000, 30000
Which value should come in place of the question mark (?) in the series above?

The correct answer is 4000.

Step-by-step Explanation:
Let us analyze the relationship between consecutive numbers in the given series: 8000, ?, 4000, 6000, 12000, 30000.

The series follows a pattern where each number is multiplied by an increasing factor starting from 0.5, with the multiplier increasing by 0.5 at each step (i.e., × 0.5, × 1, × 1.5, × 2, × 2.5).

Let us verify the pattern step-by-step:

First term to second term (?):

$8000\times 0.5=4000$

Second term (4000) to third term:

$4000\times 1=4000$

Third term (4000) to fourth term:

$4000\times 1.5=6000$

Fourth term (6000) to fifth term:

$6000\times 2=12000$

Fifth term (12000) to sixth term:

$12000\times 2.5=30000$

Thus, the value that replaces the question mark (?) in the series is 4000.