Question

Identify the explicit formula for the arithmetic sequence 12, 14, 16, 18, . . . .A) f(n) = 12 + 2(n + 1)B) f(n) = 12 + 2(n − 1)C) f(n) = 2 + 12(n + 1)D) f(n) = 2 + 12(n − 1)

Answer 1

Answer:

B

$f(n)=12+2(n-1)$

Explanation:

To be able to write the required formula, we need to know the first term(a1) and the common difference(d) and we can input into the below arithmetic sequence formula;

$f(n)=a_1+d(n-1)$

From the given sequence, we can see that the first term(a1) is 12.

Let's determine the common difference(d);

$d=14-12=2$

Substituting these values into the above formula, we'll have;

$f(n)=12+2(n-1)_{}$