Difference between two even numbers after and before 2n, where n is a positive number.

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answer is B.

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Detailed Solution

Concept: The difference between two even numbers after and before 2n must be calculated.
To do this, we must first compute the two even numbers that come before and after 2n.
due to the fact that even integers multiply by 2.
As a result, even numbers preceding 2n would have the form

.
Thus, we get the even number that comes before 2n as

.
In a similar manner, we will continue to find an even number after 2n.
Any even number following 2n has the form

.
As a result, we get the even number that comes after 2n as

.
We now have two even numbers,

and

, before and after 2n.
The result will be obtained by subtracting them at the end.
Let's use D to represent the difference.
Consequently, the two terms' difference D is given by,
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Hence, the correct option is 2.

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