Question
Find the missing number in the given number series.
6, 15, 35, 66, 108, ?
Solution
ATQ,
Observe the differences: 15 - 6 = 9
35 - 15 = 20
66 - 35 = 31
108 - 66 = 42
Now check second differences: 20 - 9 = 11
31 - 20 = 11
42 - 31 = 11 ⇒ Constant second difference.
Next difference = 42 + 11 = 53
Missing number = 108 + 53 = 161
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