Reasoning method inductive reasoning is a kind of reasoning from individual to general. From a certain point of view about individual things to a larger point of view, the general principle and the explanation method of the principle are deduced from special concrete examples.
Deductive reasoning is a reasoning method from general to special. Contrary to induction. The connection between reasoning premise and conclusion is inevitable, and it is a kind of conclusive reasoning. Using this method to study problems, we must first correctly grasp the general principles and principles as guiding ideology or basis;
Secondly, we should fully understand the actual situation and particularity of the topics and problems to be studied; Then we can deduce the conclusion that general principles are applied to specific things.
Application of mathematical induction in proving identities
When proving identities by mathematical induction, we should first understand the structural characteristics of both sides of the equation, and pay attention to the changes of terms on both sides of the equation from n=k to n=k+ 1. The key is how to transform the formula into the same form as the inductive hypothesis structure so as to use the inductive hypothesis.
Prove inequalities, prove geometric problems, prove the divisibility of numbers or formulas.