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What should come at the end in the following number series: 0, 2, 10, 30, 68?

Published in Number Series 1 min read

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

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