What are the next four numbers in this sequence? 2,5,11,18,28
To find the next numbers in the sequence, let's examine the differences between consecutive terms:
2, 5, 11, 18, 28
The difference between the first and second terms is 5 - 2 = 3.
The difference between the second and third terms is 11 - 5 = 6.
The difference between the third and fourth terms is 18 - 11 = 7.
The difference between the fourth and fifth terms is 28 - 18 = 10.
From this analysis, you can see that the differences between consecutive terms are increasing by 3, then 1, then 3, and then 3 again.
To determine the next differences, we need to continue this pattern. Since the current difference is 10, the next difference should increase by 3. Therefore, the next difference will be 10 + 3 = 13.
Now, let's find the next number in the sequence:
28 + 13 = 41
Therefore, the next number in the sequence is 41. To find the subsequent numbers, we will continue adding the next difference of 13.
41 + 13 = 54
54 + 13 = 67
67 + 13 = 80
Hence, the next four numbers in the sequence are 41, 54, 67, and 80.