Next in 3, 6, 12, 24, ?

**The reasoning** Look at how each number relates to the one before it: - 6 ÷ 3 = 2 - 12 ÷ 6 = 2 - 24 ÷ 12 = 2 This is a **geometric sequence** where each term is multiplied by a constant ratio (called the common ratio, r = 2). So the pattern is simply "multiply by 2 each time." Following this pattern: 24 × 2 = **48** **Why the wrong options tempt you** **A) 30** — This comes from adding 6 (24 + 6). You might think the differences are increasing, but that's not the pattern here. **B) 36** — You get this by adding 12 (24 + 12), maybe thinking we're adding the previous difference doubled. Close thinking, but wrong pattern! **D) 60** — This might come from overthinking or adding random increments. **Quick takeaway** In number sequences, always check the **ratio** (division) first, then the difference (addition) — geometric patterns multiply or divide; arithmetic patterns add or subtract. Once you spot "each divided by the last gives the same number," you've cracked it!