Select the number from among the given options that can replace the question mark (?) in the following series.
729, 512, 343, ?, 125
- A16
- B64
- C576
- D216
Solution & Step-by-step Explanation
Let's analyze the mathematical pattern of the terms in the series:
729=9
3
512=8
3
343=7
3
?=6
3
125=5
3
The series consists of perfect cubes of consecutive decreasing integers starting from 9.
The missing value is 6
3
=6×6×6=216.
729=9
3
512=8
3
343=7
3
?=6
3
125=5
3
The series consists of perfect cubes of consecutive decreasing integers starting from 9.
The missing value is 6
3
=6×6×6=216.