1,2,3,7,11,16,(),29

2025-10-30 阅读 217 评论 0

摘要：The sequence provided is: 1, 2, 3, 7, 11, 16, , 29. To find the missing number, we *yze the diffe

The sequence provided is: 1, 2, 3, 7, 11, 16, , 29. To find the missing number, we *yze the differences between consecutive terms:

1,2,3,7,11,16,(),29

1. Differences between terms:

1 = 1

2 = 1

3 = 4

7 = 4

11 = 5

The next difference is 5 (following a pattern of repeating differences twice), leading to 16 + 5 = 21.

Finally, 29

21 = 8, confirming the next difference is 8.

2. Pattern in differences:

The differences 1, 1, 4, 4, 5, 5, 8 show that each difference is repeated twice, with increments of +3, +1, +3 between the distinct values (1 → 4 → 5 → 8).

3. Verification:

Following the pattern, after 16, adding 5 gives 21, and adding 8 to 21 results in 29, which matches the last term.

Answer: boxed{21}

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