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Which number will replace the question mark (?) in the following series?
2, 5, 11, 23, 44, ?
63
66
51
77
- Let's analyze the given series: 2, 5, 11, 23, 44, ?
- Notice the pattern in differences:
- The difference between 5 and 2 is 3.
- The difference between 11 and 5 is 6.
- The difference between 23 and 11 is 12.
- The difference between 44 and 23 is 21.
- The differences are increasing as: 3, 6, 12, 21.
- These increments suggest adding consecutive triangular numbers (3, 6, 10, 15, etc.).
- The next difference should be 33 (21 + 12).
- Therefore, add 33 to 44.
- 44 + 33 = 77.
- This means the next number in the series is 77.
- Option 4: 77 is correct.
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