Respuesta :

Answer: The sum of five consecutive even numbers for this sequence is 20n.

Step-by-step explanation:

Since we have given that

Number of consecutive even numbers = 5

Middle value = 4n

Since there are 5 consecutive even numbers:

4n-4,4n-2,4n,4n+2,4n+4

So, Sum of five consecutive even numbers would be

[tex]4n-4+4n-2+4n+4n+2+4n+4\\\\=20n[/tex]

Hence, the sum of five consecutive even numbers for this sequence is 20n.