What kind of reasoning is kim using? kim notices that 24 = 6 + 18, 63 = 9 + 54, 39 = 12 + 27, and 72 = 9 + 63, so she thinks it is likely that she can write every number divisible by 3 as the sum of two numbers divisible by 3?

Reasonings are divided into three categories: (1) inductive, (2) deductive, and (3) causal reasoning. The type of reasoning that is depicted in the given above is inductive reasoning. This is because Kim was able to derive to a conclusion by citation of different examples. Among the three categories, inductive reasoning is the most commonly used.