The next number in the sequence 5, 11, 19, 29 is 41.
Understanding the Number Sequence
This number sequence follows a pattern based on the differences between consecutive terms. We can analyze it as follows:
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Step 1: Calculate the differences
Term Value Difference from previous term Term 1 5 - Term 2 11 11 - 5 = 6 Term 3 19 19 - 11 = 8 Term 4 29 29 - 19 = 10 -
Step 2: Identify the pattern in the differences
The differences (6, 8, 10) form an arithmetic sequence where each term increases by 2.
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Step 3: Extrapolate the next difference
The next difference would be 10 + 2 = 12.
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Step 4: Calculate the next term in the original sequence
Adding the next difference to the last term, we get 29 + 12 = 41.
As referenced, 5–1=4, 11–5=6, 19–11=8. The series of even numbers are important to solving the problem. To solve the series, we observe that it is a series of even numbers hence we add 2 to get the next number in the series i.e 12. Going back to series 2, we add 12 to the last number i.e. 29 and get 41.
Therefore, the next number in the sequence is 41.
