Multiple choice

In the following number series only one is wrong. Find out the wrong number. 448 294 180 100 49

  1. 448

  2. 294

  3. 180

  4. 100

  5. 49

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

The pattern follows cubes of consecutive numbers minus the number itself: 7^3 - 7 = 343 - 7 = 336 (not 448). Let me verify: 448 doesn't fit 7^3-7=336. If it were cubes+number: 7^3+7=350, 6^3+6=222, 5^3+5=130, 4^3+4=68. None match. Alternative: 448 = 8^3 - 64 = 512 - 64 (not standard). Actually: 448-294=154, 294-180=114, 180-100=80, 100-49=51. Differences: 154, 114, 80, 51. These don't show clear pattern. If pattern is n^3 - n^2: 7^3-7^2=294, 6^3-6^2=180, 5^3-5^2=100, 4^3-4^2=48 (close to 49). So if first term were 438 (7^3+95), not matching. Actually the claimed answer is 49 is wrong. Let me check: 448 = 7^3 + 105, 294 = 6^3 + 78, 180 = 5^3 + 55, 100 = 4^3 + 36. The added terms: 105, 78, 55, 36. Differences: 27, 23, 19. Second differences: 4, 4. This is consistent! So 49 should be 4^3 + 15 = 64 + 15 = 79, not 49. Or if pattern continues with second diff 4: 19-4=15, so 36-15=21, giving 4^3+21=85. Either way, 49 is wrong.