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Select the number that will come next in the following series.1, 1, 1, 2, 4, 8, 3, 9, 27, 4, 16, ?
Question

Select the number that will come next in the following series.
1, 1, 1, 2, 4, 8, 3, 9, 27, 4, 16, ?

A.

49

B.

54

C.

64

D.

32

Correct option is C

Given: 1, 1, 1, 2, 4, 8, 3, 9, 27, 4, 16, ?
Logic: The series follows the pattern n, n², n³ for increasing values of n by + 1.
The first number series is n (1, 2, 3, 4).
The second number series is n² (1² = 1, 2² = 4, 3² = 9, 4² = 16).
The third number series is n³ (1³ = 1, 2³ = 8, 3³ = 27, 4³ = 64).
Thus, the missing number is 4³ = 64.
Thus, the correct option is (c) 64

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