Identify the wrong number in the series. 145, 122, 92, 82, 65, 50

To solve for the wrong number in the series, let's examine the differences and the underlying pattern of the numbers: 145, 122, 92, 82, 65, 50.

Step-by-Step Analysis
Analyze the structure:
Each number in this series follows the pattern (n * n) + 1, where n decreases by 1 for each subsequent term.

145 = (12 * 12) + 1

122 = (11 * 11) + 1

101 = (10 * 10) + 1  (This should be the third number)

82 = (9 * 9) + 1

65 = (8 * 8) + 1

50 = (7 * 7) + 1

Identify the wrong number:
Comparing the pattern to the original series, the third number is listed as 92 instead of 101. Therefore, 92 is the incorrect term.