Inductive Reasoning is a reasoning that is based on patterns you observe. If you observe a pattern in a sequence, you can use inductive reasoning to decide the next successive terms of the sequence. A conclusion you reach using inductive reasoning is called a conjecture .

What is inductive reasoning in math examples?

Inductive Reasoning - Definition

Inductive reasoning starts with a specific scenario and makes conclusions about a general population. For our lake example, if you found a trout fish in a lake, you would assume that it is not the only fish in that lake. You may further conclude that all the fish in the lake are trout.

What is inductive and deductive reasoning in math?

We've learned that inductive reasoning is reasoning based on a set of observations, while deductive reasoning is reasoning based on facts. Both are fundamental ways of reasoning in the world of mathematics. ... Inductive reasoning, because it is based on pure observation, cannot be relied on to produce correct conclusions.