To determine the next number in the sequence, we first need to identify the pattern. Let's look at how the sequence progresses:
From 7 to 8, the increase is 1. (8 - 7 = 1)
From 8 to 10, the increase is 2. (10 - 8 = 2)
From 10 to 13, the increase is 3. (13 - 10 = 3)
From 13 to 17, the increase is 4. (17 - 13 = 4)
From 17 to 22, the increase is 5. (22 - 17 = 5)
From 22 to 28, the increase is 6. (28 - 22 = 6)
We can see that the difference between consecutive terms is increasing by 1 each time. Let's confirm this pattern:
1 (Second term - First term)
2 (Third term - Second term)
3 (Fourth term - Third term)
4 (Fifth term - Fourth term)
5 (Sixth term - Fifth term)
6 (Seventh term - Sixth term)
Since the pattern of increase is consistent, we predict that the difference between the next term and the current last term (28) will be 7 (since the last difference was 6 and we are incrementing by 1).
So, to find the next number in the sequence, we add 7 to the last number:
28 + 7 = 35
Therefore, the next number in the sequence is 35.
