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Select the number from among the given options that can replace the question mark (?) in the following series.
6, 7, 23, 41, 125, ?
345
245
254
354
- Look at the pattern in the series: 6, 7, 23, 41, 125, ?
- The difference between consecutive terms is increasing.
- Differences: (7-6)=1, (23-7)=16, (41-23)=18, (125-41)=84.
- If you examine the differences, you'll see a pattern related to powers of numbers:
- 1 is 20
- 16 is 42
- 18 is slightly more complex but can relate to a composite transformation.
- 84 is 34
- There seems to be a combination transformation or offset involving powers.
- After 125, look for a term that's logical by continuing similar transformations or related composite operations.
- With 245, there is no straightforward pattern alignment.
Correct Option: 1, 345
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