Question

determine the 12th shape of this pattern.

Explanation:

Step1: Identify the pattern cycle

The pattern has a cycle of 4 shapes: triangle, circle, square, shaded - circle.

Step2: Calculate the remainder

Divide \(12\) by \(4\): \(12\div4 = 3\) with a remainder of \(0\). When the remainder is \(0\) in a cycle of \(n\) elements (\(n = 4\) here), it corresponds to the \(n\)th element of the cycle.

Answer:

The \(12^{\text{th}}\) shape is the shaded - circle.