Question

Generalize the pattern by finding the nth term.

Answer 1

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:

$a_{n}=a_{0}+(n-1)d$

where a_n is the nth term, a_0 is the first term and d is the common difference between them.

We know that

$a_{0}=6\\d=4$

Putting the value in general formula:

$a_{n}=6+4(n-1)\\a_{n}=6+4n-4\\a_{n}=4n+6-4\\a_{n}=4n+2$

So the generalized pattern is 4n+2 ..