# Math Patterns

### Choose the correct option in place of question mark (?) in the following series:

2, 3, 4, 9, 8, 27, 16, (?).

(a) 81

(b) 49

(c) 64

(d) 100

Solution:

In this series there are two groups of numbers.

2, 4, 8, 16 and 3, 9, 27, (?)

2, 4, 8, 16 = 2^1, 2^2, 2^3, 2^4

and 3, 9, 27, (?) = 3^1, 3^2, 3^3, 3^4

Therefore, 3^4 = 81

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