Look for the pattern in the sequence of numbers. What number is missing? You can use a calculator to help. \( 3,6, \ldots, 24,48, \ldots \)
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The pattern in the sequence is that each number is multiplied by 2 to get to the next number. Starting from 3: \(3 \times 2 = 6\) Then, to find the missing number between 6 and 24, we continue multiplying: \(6 \times 2 = 12\). This leads to the complete sequence: \(3, 6, 12, 24, 48\). So, the missing number is 12! To further explore number patterns, you can practice with geometric sequences, wherein each term is formed by multiplying the previous one by a constant factor. They're not just mathematical fun; these types of sequences are found in nature, like the growth patterns of certain plants, the arrangement of leaves, or even the spread of populations. Embracing number sequences can show you a whole new side of mathematics!