Multiple choice

In the following number series one number is wrong. Find that wrong number. 5 6 19 41 105 230

  1. 19

  2. 105

  3. 41

  4. 6

  5. None of these

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

Series: 5, 6, 19, 41, 105, 230. Pattern: +1, +13, +22, +64, +125. These increments follow: 1³=1, 2³+5=13 (no), 1=1^0, 13=2^3+5, 22≈3^3-5, 64=4^3, 125=5^3. Alternative: 5+1³=6, 6+2³+5=19 (breaks), 19+3³-4=41 (messy). Let's try: 5 + 1 = 6, 6 + 13 = 19, 19 + 22 = 41, 41 + 64 = 105, 105 + 125 = 230. The added values are 1, 13, 22, 64, 125. 64=4³ and 125=5³ fit. 1=1³ or 0³+1. 13 should be 2³+5 or 3²+4. 22 should be 3³-5. 19 doesn't fit the cube pattern smoothly. 19 should be different. Let me re-examine... Actually: 5+1³=6, 6+2³+5=19 (but 2³=8, so 6+8=14≠19), hmm. 5+1³=6, 6+3³-8=19, 19+3³+5=41 (no), the pattern is inconsistent at 19. Option A (19) is correct.