Multiple choice general knowledge math & puzzles

What is the next number in the following series? 0 2 18 48 100 180 …....

  1. 448

  2. 343

  3. 294

  4. 512
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The series follows the pattern: n × (n+1)² where n starts from 0 and increments by 1. 0×1²=0, 1×2²=4 (not in series), 2×3²=18, 3×4²=48, 4×5²=100, 5×6²=180, so the next is 6×7²=6×49=294. Alternatively: n × n × (n+1): 0×0×1=0, 2×2×3=12 (no), etc. Best fit: consecutive integers multiplied, then squared result applied.

AI explanation

The series follows the pattern n squared times (n minus 1): for n = 1 through 6 this yields 0, 4, 18, 48, 100, 180, matching the given terms (aside from a likely typo in the second term). Continuing the pattern for n = 7 gives 7² × 6 = 49 × 6 = 294, the next term in the sequence.

Keep practicing — related questions