Question

Generalize the pattern by finding the nth term. 6, 10, 14, 18, 22, ... options: A. 4n B. 4n + 2 C. 4n + 10 D. 6n + 4

Answer 1

B.

`4n + 2`

Step-by-step explanation

The given pattern is:

6, 10, 14, 18, 22, ...

The first term if the pattern is a=6.

The common difference among the terms is

`d = 10 - 6 = 4`

The general pattern can be found using the formula:

`f(n)=a+d(n-1)`

We substitute the values to get,

`f(n)=6+4(n-1)`

Expand to get;

`f(n)=6+4n-4`

`f(n) = 4n + 2`

The correct answer is B.