Use mathematical induction like this: first check whether n= 1 is true, if not, the proposition is wrong, if so, continue.

Assuming that n=k holds, calculate that n=k+ 1 holds.

So the proposition holds.

What is mathematical induction? What is the difference between complete induction and incomplete induction?

Mathematical induction (MI) is a mathematical proof method, which is usually used to prove that a given proposition is valid in the whole (or local) natural number range. Besides natural numbers, generalized mathematical induction can also be used to prove general well-founded structures, such as trees in the theory of * * *. This generalized mathematical induction is applied to the fields of mathematical logic and computer science, and is called structural induction.

In number theory, mathematical induction is a mathematical theorem to prove the correctness of infinite sequence in different ways (first, second, third, all the way down).

Although there is "induction" in the name of mathematical induction, mathematical induction is not a rigorous inductive reasoning method, but a completely rigorous deductive reasoning method. In fact, all mathematical proofs are deductive.

Does the college entrance examination take mathematical induction?

The probability of taking the entrance examination in mathematics is very low. I estimate that 99% will not take the exam!

Let me analyze it.

The recent math questions in our senior three are basically

17 18 19 has only four types of questions: 1. sequence 2. trigonometric function 3. probability 4. solid geometry, in which probability and solid geometry have big questions every time.

Mathematics and trigonometric function estimation are basically 17 problems, and more than 90% are quadratic curves. The second problem is to test the computing power. Function has the greatest probability, and the second question is extremely difficult. One IQ test, two details tests and three efficiency tests.

The last three multiple-choice questions 22 prove the absolute inequality of polar coordinate equation 24 of circle 23.

Generally, 24 questions are the simplest questions, and the first question will definitely give points. The second question may be relatively unpopular, such as Cauchy inequality, but it will only appear if it is particularly unlucky.

At least up to now, we have taken 5 6 math papers in the senior three entrance examination, and we haven't done a big problem of mathematical induction.

If you have to apply the knowledge of mathematical induction, I think it should be a multiple-choice question 16, and you may encounter places where the idea of mathematical induction is needed.

Mathematical induction can't get 5 points in the college entrance examination.

Hello, mathematical induction is not a separate problem. Only in series, proof and other questions can mathematical induction be used to solve problems, but it is not the only way.

Is mathematical induction an axiom?

It is not an axiom, but a proof method, in which it may be applied to other theorems, axiomatic identities and so on.