What is the next term of the following sequence? \[ \begin{array}{l}12,6,3, \ldots \\ \frac{1}{2}\end{array} \]

To find the next term in the sequence \( 12, 6, 3, \ldots, \frac{1}{2} \), let's first analyze the pattern of the sequence. 1. **Identify the pattern:** - The first term is \( 12 \). - The second term is \( 6 \), which is \( 12 \div 2 \). - The third term is \( 3 \), which is \( 6 \div 2 \). From this, we can see that each term is obtained by dividing the previous term by \( 2 \). 2. **Continue the pattern:** - The fourth term would be \( 3 \div 2 = \frac{3}{2} \). 3. **Verify the next term:** - The next term after \( \frac{3}{2} \) would be \( \frac{3}{2} \div 2 = \frac{3}{4} \). Thus, the next term in the sequence is \( \frac{3}{4} \).