The next number in the sequence 6, 11, 18 is 27.
Sequence Analysis
The given sequence is 6, 11, 18. Let's analyze the differences between consecutive terms to find a pattern.
- Difference between 11 and 6: 11 - 6 = 5
- Difference between 18 and 11: 18 - 11 = 7
The differences (5, 7) form an arithmetic progression with a common difference of 2. Therefore, the next difference should be 7 + 2 = 9.
According to the provided reference, the next term is found by adding this difference to the last term in the sequence: 18 + 9 = 27. The reference confirms this by stating, "So the term would be 27. As 27 - 18 = 9. And the sequence will look like, 6, 11, 18, 27."
Resulting Sequence
Therefore, the sequence becomes: 6, 11, 18, 27.
