The series is: 512, 1000, 1728, 2744, 4096, 5832, (?)
Concept: The numbers given in the series are the cubes of the even natural numbers.
Explanation:
512 = (8)3
1000 = (10)3
1728 = (12)3
2744 = (14)3
4096 = (16)3
5832 = (18)3
The numbers are the cubes of the consecutive even numbers. Therefore, the next term should be the cube of the next even number, i.e., 20.
(20)3 = 8000
Thus, the next term in the series is 8000.
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