Answer:
4n+2
Step-by-step explanation:
The common difference between the terms is 4 which means that the sequence is an arithmetic sequence.
The general formula for arithmetic sequence is:
[tex]a_{n}=a_{0}+(n-1)d[/tex]
where a_n is the nth term, a_0 is the first term and d is the common difference between them.
We know that
[tex]a_{0}=6\\d=4[/tex]
Putting the value in general formula:
[tex]a_{n}=6+4(n-1)\\a_{n}=6+4n-4\\a_{n}=4n+6-4\\a_{n}=4n+2\\[/tex]
So the generalized pattern is 4n+2 ..
