The next number in the series 0, 2, 10, 30, 68 is 130.
Number Series Analysis
To understand how the number series progresses, let's examine the pattern:
- 0 = 13 - 1
- 2 = 23 - 6
- 10 = 33 - 17
- 30 = 43 - 34
- 68 = 53 - 57
A clearer pattern emerges when considering the series as a deviation from perfect cubes.
- 0 = 13 - 1
- 2 = 13 + 1
- 10 = 23 + 2
- 30 = 33 + 3
- 68 = 43 + 4
Therefore, the next number will be:
- 53 + 5 = 125 + 5 = 130
Verification
Position | Number | Calculation |
---|---|---|
1 | 0 | 13 - 1 |
2 | 2 | 13 + 1 |
3 | 10 | 23 + 2 |
4 | 30 | 33 + 3 |
5 | 68 | 43 + 4 |
6 | 130 | 53 + 5 |
Additional Information
Although unrelated to the number series question, it is worth noting that the UP Police Constable Notification was released for 60244 vacancies, commencing 10-Sept-2024, as per the provided reference.