General Intelligence Number Series Number Series Question #6552 (CAT-I)

Find the missing number in the sequence: 2, 4, 13, 41, 106, ?

A 232
B 172
C 191
D 219
Correct Answer & Explanation
Option A
• Analyze the successive differences: 4 - 2 = 2 13 - 4 = 9 41 - 13 = 28 106 - 41 = 65 • Second differences: 9 - 2 = 7, 28 - 9 = 19, 65 - 28 = 37 • Third differences: 19 - 7 = 12, 37 - 19 = 18 (increasing by 6) • Next third difference: 18 + 6 = 24 • Next second difference: 37 + 24 = 61 • Next first difference: 65 + 61 = 126 • Missing term = 106 + 126 = 232.