Common EntranceQuantitative ReasoningPatterns

Find next: 1, 4, 9, 16, ?

A20
B25CORRECT
C30
D36
AI
Toaster Teacher
Why the answer is B, and why the others tempt you.
**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! 💪
Want this in Pidgin, Yoruba, Igbo or Hausa? Sign up free →

Practice more Quantitative Reasoning questions

Common Entrance Quantitative Reasoning has thousands more questions like this — with Worked answers on every one.