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The missing term in the series 1, 1, 4, 8, 9 ,27, (……) is
Question

The missing term in the series 1, 1, 4, 8, 9 ,27, (……) is

A.

9

B.

36

C.

12

D.

16

Correct option is D

Given
1,1,4,8,9,27,(…)

Concept Used : 
The series alternates between squares and cubes

Odd positions follow the pattern of perfect squares:​12, 22, 32, 1^2, \; 2^2, \; 3^2, \; \dots
Even positions follow the pattern of perfect cubes:13, 23, 33, 1^3, \; 2^3, \; 3^3, \; \dots
​​​
Solution
Odd positions:

  • 12, 22, 32, 1^2, \; 2^2, \; 3^2, \; \dots

Given series:
1
,
1
,
4
,
8
,
9
,
27
,
(


)
1,1,4,8,9,27,(…)

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