Multiple choice

In the following number series, a wrong number is given. Identify the wrong number that does not follow the given pattern. $9 10 18 45 109 235 450$

  1. 10

  2. 9

  3. 18

  4. 109

  5. 235

Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let's find the pattern: 9 → 10 (+1), 10 → 18 (+8), 18 → 45 (+27), 45 → 109 (+64), 109 → 235 (+126), 235 → 450 (+215). Looking at the differences: 1=1^3, 8=2^3, 27=3^3, 64=4^3... So the pattern is adding consecutive cubes. The differences should be 1, 8, 27, 64, 125, 216. Let's check: 9+1=10 ✓, 10+8=18 ✓, 18+27=45 ✓, 45+64=109 ✓, 109+125=234 (but we have 235), 234+216=450 ✓. So 235 is wrong - it should be 234. The pattern is: each step adds the next cube number.