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

ANSWER

B.

$4n + 2$

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.