Question

What is the explicit rule for the sequence? 12,6,0,−6, …

Answer 1

Hello!

First you find the common difference in the sequence

6 - 12 = -6
0 - 6 = -6

The common difference is -6

We can now make the equation

-6(n - 1) + 12

we got the 12 because it is the first number in the sequence

Simplify

-6n + 6 + 12

Simplify

18 - 6n

The answer is B) an = 18 - 6n

Hope this helps!