Find the missing number in the series: 4, 7, 11, 19, 32, 54, ?, 149, 245
A86
B90 ✓ Correct
C105
D88
Correct answer: (B) 90
Explanation
The missing term is 90.
The first differences are 3, 4, 8, 13, 22, and their second differences are 1, 4, 5, 9.
Each second difference is the sum of the previous two: 5 = 1 + 4, 9 = 4 + 5.
Next second difference = 5 + 9 = 14, so next first difference = 22 + 14 = 36.
The missing term = 54 + 36 = 90.
Check: 90 + 59 = 149 and 149 + 96 = 245.
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