Step-by-step Solution:

Pattern Analysis

The rule for this series is: (previous term × n) + n, where 'n' starts at 1 and increases by 1 for each step.

• (15 × 1) + 1 = 16


• (16 × 2) + 2 = 34


• (34 × 3) + 3 = 105


• (105 × 4) + 4 = 424


• (424 × 5) + 5 = 2125. The series has 2124 at this position, which breaks the pattern.


• If we continue from the correct number: (2125 × 6) + 6 = 12756.

The entry given in the series is 2124, but according to the established pattern, it should be 2125.

The wrong number in the series is 2124.