so1963
contestada

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

Respuesta :

ANSWER

B.

[tex] 4n + 2[/tex]

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

[tex]d = 10 - 6 = 4[/tex]

The general pattern can be found using the formula:

[tex]f(n)=a+d(n-1)[/tex]

We substitute the values to get,

[tex]f(n)=6+4(n-1)[/tex]

Expand to get;

[tex]f(n)=6+4n-4[/tex]

[tex]f(n) = 4n + 2[/tex]

The correct answer is B.