**The reasoning**
Look at the pattern carefully: 1, 4, 9, 16, ?
These are **perfect squares**:
- 1 = 1²
- 4 = 2²
- 9 = 3²
- 16 = 4²
So the next number must be **5² = 25**.
The sequence follows the rule: (position number)². You're simply squaring consecutive whole numbers: 1, 2, 3, 4, 5...
**Why the wrong options tempt you**
- **20**: If you thought "just add 4 each time" (because 4-1=3, 9-4=5 looks irregular, you might guess randomly)
- **30**: Adds 14 to 16, which has no pattern basis — pure guessing
- **36**: This is actually 6², so you skipped a step! The sequence goes in order, don't jump ahead.
**Quick takeaway**
When you see 1, 4, 9, 16... always check: "Are these perfect squares?" Most JAMB number patterns test squares (n²), cubes (n³), or simple addition/multiplication rules. Spot the squares, and you'll never miss this again! 💪