What is the next term in the sequence below? -324,108,-36,12,ldots -4 -3 3 4

To find the next term in the sequence, we need to look for a pattern or rule that governs the sequence. Let's examine the given terms:<br /><br />$-324, 108, -36, 12, \ldots$<br /><br />We can observe that each term is obtained by multiplying the previous term by a constant. Let's find this constant by dividing each term by the previous term:<br /><br />$\frac{108}{-324} = -\frac{1}{3}$<br /><br />$\frac{-36}{108} = -\frac{1}{3}$<br /><br />$\frac{12}{-36} = -\frac{1}{3}$<br /><br />The constant is $-\frac{1}{3}$. Therefore, to find the next term, we multiply the last term by $-\frac{1}{3}$:<br /><br />$12 \times -\frac{1}{3} = -4$<br /><br />So, the next term in the sequence is $-4$.