11, 29, 55, ?, 131
Solution
To find the missing number in the sequence 11, 29, 55, ?, 131, we need to identify the pattern or rule that governs the sequence.
Looking at the given numbers, we can observe that each number is obtained by adding a certain value to the previous number. Let's calculate the differences between consecutive numbers:
29 - 11 = 18 55 - 29 = 26 131 - 55 = 76
The differences between consecutive numbers are not constant, so we need to look for another pattern.
If we examine the differences between the differences, we can see that they are increasing by 8 each time:
26 - 18 = 8 76 - 26 = 50
Based on this pattern, we can assume that the next difference should be 50 + 8 = 58.
To find the missing number, we add this difference to the last number in the sequence:
131 + 58 = 189
Therefore, the missing number in the sequence is 189.
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