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Select the number from among the given options that can replace the question mark (?) in the following series.
16, 33, 100, 401, ?
1588
804
1235
2006
- To solve the series: 16, 33, 100, 401, ?, we observe the pattern.
- Difference between numbers:
- 33 - 16 = 17
- 100 - 33 = 67
- 401 - 100 = 301
- These differences may suggest a pattern related to powers or squares.
- Next differences calculated:
- 401 - 100 should relate to the next step.
- Review options for 401 + 401 yields:
- Option 1: 1588
- Option 2: 804
- Option 3: 1235
- Option 4: 2006 fits as another larger increment transformation after 401.
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