"...Here, assuming n=m, the conclusion is true. Then when n=m1, using the inductive hypothesis, i=1∏m1(kia1)/(a1)=(i=1∏m(kia1)/(

a1)

)·(km1a1)/(a1)≤(k1k2···kma1)/(a1)·(km1a1)/(a1)≤(k1k2···km1a1)/(a1).”

While Chen Zhou was writing, he asked Chen Xiao: "Can you understand this step?"

Chen Xiao shook his head and nodded: "I can understand it, but it's a bit difficult..."

Chen Zhou asked strangely: "What's so difficult?"

"Uh..." Chen Xiao said hesitantly, "The steps are as follows, but the key is, I can't think of the key steps..."

Hearing Chen Xiao's words, Chen Zhou smiled: "It's okay, it's normal that you can't think of it. The main reason is that your own knowledge reserve is not enough. There is only one way to solve it, see more, think more, and accumulate more."

Chen Xiao nodded silently.

Chen Zhou put down the scratch paper and continued: "Finally, by using mathematical induction, the inequality can be established for all positive integers n, and the proposition is proved. This question is mainly about the flexible use of induction. Think about it carefully.

think."

"Yeah." Chen Xiao nodded in agreement, picked up the draft paper, and started thinking about it.

Chen Zhou glanced at Chen Xiao and said nothing.

He stood up, gave up his seat to Chen Xiao, then cut a piece of watermelon, washed some grapes, and brought them to Chen Xiao.

After doing this, Chen Zhou looked at the time and returned to his room.

Sitting down at the desk, Chen Zhou began to make detailed plans and refine his time.

As long as you manage time well, you will find that there is actually a lot of available space.

Moreover, from a certain perspective, time is movement.

What we define as a day is just one rotation of the earth.

The year we define is just one revolution of the earth around the sun.

Therefore, saving time can also be understood as chasing the movement of the earth.

Thinking of this, Chen Zhou instantly felt that the concept of time management had risen to another level.

After all, chasing the movement of the earth is very cool just thinking about it!

After making a plan, Chen Zhou began to get into the rhythm of the afternoon.

Continue to study the hail conjecture.

After a busy afternoon, Chen Zhou left several pages of colorful mistakes in the collection of wrong questions.

No way, so far, he still hasn't found a good idea.

And what he can do is still learn and research at the same time.

Continuously draw knowledge from relevant literature, and continue to try to solve the problem of hail conjecture.

Chen Zhou put down the work at hand and rubbed his temples.

Studying and research are a double consumption of physical and mental energy.

Chen Zhou felt a little tired.

At seven o'clock in the evening, Chen Zhou and Yang Yiyi started video chatting.

He continued his work from the previous morning, studying and summarizing the project materials sent by Dean Yang.

This is Chen Zhou's plan, leaving Dean Yang's topic in the evening, Hail Conjecture in the afternoon, and textbooks from the Physics Department in the morning.

Under this fulfilling arrangement, Chen Zhou chased the movement of the earth.

In this way, Chen Zhou has not been out for more than 20 days since he returned from summer vacation.

The reason why he went out today was because Chen Xiao's high school entrance examination results came out. He accompanied Chen Xiao to the No. 3 Middle School to find a teacher to fill in his application.

Just like the college entrance examination, you also need to fill in your application form after the high school entrance examination.

However, unlike the college entrance examination, filling out the application form for the high school entrance examination is not that complicated.

The school has quotas for unified admissions, targeted admissions and expanded admissions.

Which school each student can attend is basically determined after checking the scores and rankings.

The full name of No. 3 Middle School is No. 3 Middle School, which is a junior high school.

This is also where Chen Zhou went to junior high school.

He and Chen Xiao came to No. 3 Middle School and found Chen Xiao’s class teacher.

Chen Xiao's class teacher didn't recognize Chen Zhou at first. He didn't remember until Chen Xiao introduced him.

Ah, this is actually our province’s science champion...

The head teacher quickly greeted Chen Zhou warmly.

It actually made Chen Zhou a little embarrassed.

Moreover, in the class teacher's office, there were teachers from other classes and some students who also came to check their scores and fill in their applications.

Hearing what Chen Zhou and the others were doing, everyone looked at Chen Zhou curiously.

They had heard before that Chen Xiao had an older brother who was a top scorer, but this was the first time they saw him in person.

Curiosity is inevitable.

Chen Zhou was naturally used to this kind of attention, but Chen Xiao was obviously uncomfortable.

Because when he was around Chen Zhou, he felt full of pressure.

Fortunately, after Chen Zhou asked Chen Xiao about his results and rankings, he breathed a sigh of relief.

I did very well in the exams, ranked first in the school, topped the county high school entrance exam, and topped the city high school entrance exam. I can go to one of the top high schools in the province.

This result is much better than what Chen Zhou achieved back then.

After seeing Chen Xiao fill out his application, Chen Zhou planned to leave with Chen Xiao.

At this time, someone walked in hurriedly.

Chen Zhou glanced at it and thought it looked familiar, but didn't think of it for a moment.

The other party was different. He was obviously coming for Chen Zhou.

I saw this man walking towards Chen Zhou.

Chen Xiao's class teacher also stood up and greeted him: "Principal Ruan, why are you here?"

Hearing Principal Ruan's name, Chen Zhou immediately raised his voice. Isn't this the vice principal of No. 3 Middle School who was in charge of teaching and research work when he was in junior high school and often caught himself being late?

"I'm here to find our classmate Chen Zhou." Principal Ruan replied, and his entire gaze stayed on Chen Zhou.

"Uh, hello, Principal Ruan." Chen Zhou hesitated slightly, then spoke and greeted politely.

"Classmate Chen Zhou, why didn't you say hello in advance when you returned to your alma mater?" Principal Ruan's hearty voice made Chen Zhou quite embarrassed.

He is not a famous person, and he is just accompanying his younger brother to fill out a volunteer application. What kind of greeting is this...

Chen Zhou looked at Principal Ruan and said, "Principal Ruan, do you have a problem with me?"

Principal Ruan did not mince words, but said directly: "I have always been embarrassed to disturb you, but you are coming to school now, so I was thinking, why don't you come and share it with our students, your juniors and juniors?

A learning experience?”

Chen Zhou was slightly startled. This Principal Ruan was really rude. It had already been a year since he finished the college entrance examination, and he had not seen him come to see him earlier...

But everyone said it, and it was in the name of his alma mater, so it was hard for Chen Zhou to refuse.

What's more, in Chen Zhou's understanding, this sharing is expected to bring together many students in the school, and it should be able to gain another wave of experience.

Thinking of this, Chen Zhou said: "No problem."

Principal Ruan was overjoyed and said immediately: "How about tomorrow morning in the auditorium of No. 3 Middle School?"

Chen Zhou nodded.

Since everyone has already thought about it, I don’t need to worry about it, so just wait and gain experience.

On the way home, Chen Zhou learned that No. 3 Middle School had originally planned to arrange the graduation ceremony tomorrow.

Only then did Chen Zhou realize that he had forgotten this.

This has been a long-standing habit of No. 3 Middle School. On the day after the results of the high school entrance examination are released, all the graduating junior high school students return to school to participate in the graduation ceremony.
Chapter completed!