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.