use inductive reasoning to predict the next three numbers

Question

4, 9, 13, 22, 35, 57,...

Answer 1

4 + 5 = 9

9 + 4 = 13

13 + 9 = 22

22 + 13 = 35

35 + 22 = 57

What you're doing is that you're adding the previous number in the sequence to the current in order to get the next. This means that the next number will be:

57 + 35

And so on.