Explanation:

- First, find the differences between consecutive numbers in the series:

- 35 - 24 = 11

- 51 - 35 = 16

- 73 - 51 = 22

- 102 - 73 = 29

- Notice the pattern in the differences:

- The differences are increasing: 11, 16, 22, 29.

- The differences themselves follow an incremental pattern:

- 16 - 11 = 5

- 22 - 16 = 6

- 29 - 22 = 7

- Following this pattern, the next difference should be:

- 29 + 8 = 37

- Adding this difference to the last known number in the series:

- 102 + 37 = 139

- Comparing with the options, the number that fits is 139.

The correct number to complete the series is: Option 1, 139

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