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What should come in place of the question mark (?) in the given series?4, 8, 15, 27, 46, ?, 113
Question

What should come in place of the question mark (?) in the given series?
4, 8, 15, 27, 46, ?, 113

A.

72

B.

68

C.

76

D.

74

Correct option is D

Given: 4, 8, 15, 27, 46, ?, 113
Logic: Double difference is increasing odd number from 3.
The differences between consecutive terms:
8 − 4 = 4
15 − 8 = 7
27 − 15 = 12
46 − 27 = 19
? − 46 = ?
113 − ? = ?
Difference are:
4, 7, 12, 19, ?
Double difference are:
7 − 4 = 3
12 − 7 = 5
19 − 12 = 7
Patter of differences are:
+3, +5, +7
Next difference = 19 + 9 = 28
? = 46 + 28 = 74
113 − 74 = 39
So, the missing term is 74.
Thus, correct option is (d).

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