5,7,10,15,22, WHAT COMES NEXT?
look at the differences: 2,3,5,7
My guess is that the next difference will be 11, the next prime.
If not for the 2, I'd have said odd numbers were the differences.
5 7 10
To determine the pattern and find the next number in the sequence 5,7,10,15,22, we need to analyze the differences between consecutive numbers.
First, let's find the differences between adjacent terms:
7 - 5 = 2
10 - 7 = 3
15 - 10 = 5
22 - 15 = 7
Looking at these differences, we can see that they are increasing by 1 each time: 2, 3, 5, 7.
To find the next difference, we add 9 to the last difference:
7 + 9 = 16
Now, let's find the next number in the sequence by adding this difference to the last term:
22 + 16 = 38
Therefore, the next number in the sequence is 38.