Answer:
4n - 2
Step-by-step explanation:
Greater = 2n
Smaller = 2n - 2
Sum = 2n + (2n - 2)
Sum = 2n + 2n - 2
Sum = 4n - 2
The sum of the two consecutive even numbers is:
(2n - 2) + 2n = 4n - 2
So we want to write the sum of two consecutive even numbers. Because both numbers must be consecutive and even, the difference between them is 2.
So if the smaller number is x, then the larger number is x + 2.
Now we also know that the larger number is 2n, then we have:
x + 2 = 2n
With this we can find the value of x:
x = 2n - 2
So the two consecutive even numbers are:
2n - 2 and 2n.
The sum will be:
(2n - 2) + 2n = 4n - 2
If you want to learn more about integer numbers, you can read:
https://brainly.com/question/24571594
