What is the next number in the sequence 5 10 3 15 20 13 25 30?

We are asked to determine the next numbers in the given sequence such as 5 10 3 15 20 13 25 30. In order for us to answer this problem, we need to find the difference between the two consecutive number and perform subtraction such as shown below:

For 5 and 10, the difference is - 5

For 10 and 3, the difference is 7

For 3 and 15, the difference is - 12

For 15 and 20, the difference is - 5

For 20 and 13, the difference is 7

For 13 and 25, the difference is - 12

For 25 and 30, the difference is - 5

Now, we can identify the next two numbers in the sequence since we already know that the format of the difference is - 5, 7 and - 12. So the next numbers are the following:

30 - 7 = 23

23 - (-12) = 35

Therefore, the sequence is 5 10 3 15 20 13 25 30 23 35