Question

what is the next term in this sequence? 12, 9, 6, 3, ?

Explanation:

Step1: Identify the pattern

The sequence is \(12, 9, 6, 3, \dots\). Let's check the difference between consecutive terms.
\(9 - 12 = -3\), \(6 - 9 = -3\), \(3 - 6 = -3\). So the common difference is \(-3\) (or we can say we subtract 3 each time).

Step2: Calculate the next term

To find the next term, we subtract 3 from the last given term (which is 3).
So, \(3 - 3 = 0\).

Answer:

\(0\)