1+2^35

Sn=a1(q^n-1)/(q-1)

Lynn wrote out the formula represented by the checkered game in magic ink, and then looked at the apprentices who had not yet recovered from the exponential growth of terror, and said in a loud voice.

"Why don't you write this formula down?"

Jonny and the others hurriedly opened the page, picked up the quill and copied down the formula they couldn't understand at all, and the stunned Elok on the side was the best example, that is, the end of not learning the Olympiad!

"Professor Lynn......" Elok shouted as he looked at Lynn, his eyes filled with tears, and he was about to cry directly.

"Ellock, I just heard you say that you're good at math?" Lynn asked.

I'm not, I don't, don't talk nonsense......

Alok hurriedly shook his head and wanted to deny it, but Lynn waved his hand and continued to speak.

"Well, as long as you can accurately calculate how many copper coins add up to these thirty-six squares before tomorrow's class, then this bet is over!"

"Of course, you only have one chance to speak!"

Lynn glanced at the large number of coins piled up on the square table with a little pity, but she didn't mean to accept it.

First of all, it is impossible for the other party to come up with this money, and secondly, he used a game to let the apprentices run out their savings, which is a little too scary.

Who would dare to take his math Olympiad class after that?

Alok stared blankly at the floating magic fluorescents, completely unable to understand what these operators were, and he even began to wonder if he could count......

Peirce, who was still envious of Elok before, immediately became gloating, but fortunately he hesitated, otherwise he would be the one who made a fool of himself now.

Unexpectedly, Lynn's voice changed, looked at the people present, and continued to speak.

"You too!"

"If I'm not mistaken, when Alok borrowed money from you, he said "if he can fill all the squares, he'll pay it back twice."

"It's a pity that Ellock didn't manage to do this, so the promise is invalid, not only will you not get more gold, but the money you pressed before will have to continue to be placed with me!" Lynn reached out and picked up a few gold, silver and copper coins on the square table, and said playfully.

Hearing this, there was a wail in the classroom of the Olympiad class, and Peirce and the others kicked Alok one by one in anger, this kid actually cheated!

Lynn raised her pitch a few points and pointed to the exponential summation formula floating in the sky. "There's an easy way to do exponential addition, if it's me, I can figure out how much their sum is in ten seconds if I know the last number!"

"My task for you is to find patterns and solve the formulas I wrote! When you have the answer, when will you get the money back! ”

Lynn looked around at the students who were holding the quill and bowing their heads and calculating, and nodded with satisfaction, only this kind of personal experience can make people truly feel the charm of the Olympiad!

On top of that, he is also using this game to find out the mathematical level of these apprentices.

Judging from Ellock's performance, they have already learned the most basic algorithms, and next time they may be able to start teaching them with slightly more difficult formulas!

The two-hour math Olympiad lesson was soon over.

Although they didn't learn any new magic, all the students were so enthusiastic that they couldn't wait to share what they had seen in class with others.

In just one day, the name of Professor Lynn's square plate game had spread.

In order to let more people understand the charm of exponential growth, Lynn directly moved this square plate to the door of Iyeta Academy, and changed the square to seven rows and seven verticals, a total of forty-nine squares, and erected a sign on it, rewriting the rules of bets.

If anyone is able to fill these squares with the corresponding copper coins, he will give away the alchemy recipe used to destroy Harbortown.

That's right, you just need to start with a copper coin, and fill it up according to the rule that the copper coins in the latter slot are twice as many as the previous one, and you can even take it back after filling it up, and he doesn't charge a penny!

At this moment, not only the wizard apprentices, but even several professors of the academy were a little tempted.

And such a good thing?

This alchemy formula, which requires a lot of preparation to burst into great power, may seem troublesome, but it can work wonders on some special occasions.

You know, the power of this thing is comparable to the magic of the five rings or even the six rings!

In the evening, while the students were leaving the school or returning to the dormitory, Kevin, a professor of shaping, sneaked to the square table alone and studied the rules on the square plate.

Does the number of each square have to be doubled compared to the previous one?

Kevin touched his chin and pondered in his heart, and just as he was thinking, a familiar voice came from behind.

"Don't forget it, it's absolutely impossible to fill these squares!"

"Do you know how much I have in savings? Professor Philip? Kevin asked a little dissatisfied, and he knows a lot of friends, anyway, the money is only used to fill in the grid, and you can take it back after filling it in, so it's a big deal to borrow a little more.

Could it be that these squares are really the same as they are rumored, and that all the riches of the entire seaport of Iyeta cannot be filled with them?

Kevin scoffed at this statement, this rumor is simply outrageous!

"Do you know how many copper coins are needed to fill in the last square of these seven rows and seven columns?" Philip said helplessly. "It's two hundred and eighty-one trillion!"

"Two million eight hundred and eighty thousand copper coins, that's a lot of ......" Kevin was somewhat surprised, but after a pause, he suddenly realized that the unit Philip was talking about seemed to be ...... Ten thousand... Hundred million?

"Wait, are you sure you're not mistaken?" Kevin was stunned.

It was the first time he had heard that there were trillions of units.

"Of course not! I've verified it myself......" said Philip, who was a little surprised when he heard the apprentices talk about it, and then it took a full nine sheets of paper to calculate it all, because the numbers were so long.

Kevin silently mentally calculated, although it was only the simplest multiplication, but the further he calculated, the more huge the amount became, and the mental arithmetic alone was already a little unsustainable, and in the end he could only make a rough estimate first.

Based on the experience of the first few columns, the amount increases by a factor of ten, probably every three to four squares.

There are seventy-nine squares in total, and that's ...... At least a hundred trillion times!

Kevin couldn't help but gasp, this kind of growth is really terrifying!

Not to mention the seaport of Iyeta, even if the entire continent is emptied, it is impossible to make up so much money!

Fortunately, he deliberately chose to sneak out and try it when there was no one, otherwise he was afraid that he would make a fool of himself in front of the students.

Kevin secretly rejoiced in his heart, and then found that the square table in front of him had some strange characters engraved in addition to the rows of squares.

Sn=a1{q^（n-1）}/(q-1)

"What are these runes? Some kind of magic symbol? Kevin asked, puzzled.

"It's like ...... What is the formula for summing proportional sequences? It's supposed to be called this, right? Philip said uncertainly, "Professor Lynn said that if he had figured out the last number, he would be able to figure out how many copper coins in those squares would add up to in ten seconds. ”

"With so much data, can it really be calculated in ten seconds?" Kevin frowned.

"Master Helaram seems to have solved the meaning of this Olympiad formula!" Philip sighed and said, "It's only been an afternoon, and I really deserve to be the Great Wizard." ”

"Did the master tell you what these Olympiad symbols mean?" Kevin asked eagerly, and after the exponential operation, he found that this so-called Olympiad seemed to be quite interesting.

"It's not ......," Philip shook his head regretfully, "Master Helaram only asked me to come over and add a small reward to this game, whoever can solve the meaning of this formula first will be rewarded with twenty magic gold coins!" ”

As he spoke, Philip took out the coins and used his magic to secure them to the square table.

……

At this moment, the object of everyone's mouth, Lynn, the new professor of the Olympiad math class, was sitting leisurely on the sofa in the room, eating dinner brought by the goblins, while checking the "Basic Principles of Magic" and "Analysis of Elemental Magic" borrowed from the academy's library.

Although the life of a professor at Iyeta College is very comfortable and does not feel the slightest crisis, Lynn will not let this slack off.

Everything in the Wizard's Land is unfamiliar to him, and if he encounters any trouble, the only thing he can rely on is his own strength.

In addition, as a professor, he must also make up some basic magical knowledge.

However, these two books on the principles of magic written by legendary wizards made Lynn look big, because the books were full of a large number of words such as [Selu], [Enzesi], [Koze] and other words that made him completely confused, and he could only verify them little by little according to the descriptions of these terms in the book.

It took more than three hours to analyze, combined with his own knowledge of magic after crossing over, Lynn barely understood the first half of the book.

First of all, his previous guess was not wrong, wizards did release magic by manipulating, influencing, and mimicking elements.

However, the ability of a formal wizard is very limited, not all elements can be controlled, and the accuracy is not enough, at least not to break molecules or atoms, and can only perform simple permutations and combinations.

"Hydrogen, oxygen, nitrogen, phosphorus......" Lynn silently thought about the four elements he had controlled, and couldn't help but have a few guesses in his heart.

First, the difficulty of elemental manipulation may be related to the period, for example, a formal wizard can only control the short-term elements in the first three columns of the periodic table, but cannot control the long-term elements in columns 4 to 7.

The second is determined by the number of atomic nuclear charges in the element.

The third is to divide metal and non-metal elements.

At this point, Lynn once experimented, trying to use the Zero Ring Magic [Elementary Matter Deconstruction] to disintegrate the steel longsword in his hand.

It turned out that he had failed!

No matter how hard Lynn tried, the longsword still didn't move.

This means that with the abilities of a wizard apprentice or even a full-fledged wizard, there is no way to directly affect the metal element.

Of course, this is not necessarily the case with Grand Wizards and Legendary Wizards.

Because according to the "Basic Principles of Magic", [Elementary Matter Deconstruction] also has two advanced magic.

They are the four-ring magic [Advanced Matter Deconstruction], and the seven-ring magic [Great Disintegration]!

Coincidentally, the fourth and seventh rings are the dividing line between promotion to great wizard and legendary wizard!

Lynn thought as she asked 071 to record these contents in the research file, and then turned to the second half of "The Fundamentals of Magic", which had more mysterious descriptions of magic.

This legendary wizard sees magic as the origin of the entire universe, the most basic thing that makes up all matter, and the true power of creation!

"Origin?" Lynn frowned, according to his observations these days, magic seems to exist in every corner of this world, but unlike the elements, he can only perceive but can't really 'see', unless he uses magic like [Magic Missile], he can briefly make magic manifest.

Forget it, this is obviously not something that can be studied clearly with his current level......

Lynn touched her sore braincase, decided to put the question aside for a moment, and then opened the Elemental Magic Explained.

Fireball, Corrosion, Loud Spell, Ice Touch, Secondary - Fire Demon's Hand, Fire Explosion, Poison Domain......

The entire "Analysis of Elemental Magic" records a total of seventeen types of magic, from the first ring to the third ring.

Lynn's gaze swept over the so-called two- and third-ring magic for a few moments, and then he didn't continue to pay attention, but focused his gaze on those one-ring magic.

With the power of the brain, although he was able to complete the magic mimicry that only a formal wizard could only do as a wizard's apprentice, he was limited to learning and using a ring of magic.

For example, the principle of the three-ring magic poison field is to use magic power to transform into some kind of toxic gas, which may be chlorine or fluorine, in short, it is not an element that he can get in a short time.

If he can't parse it, he can't use it, and his mental power is far from enough to cover such a large area.

At close range, it is better to simply reduce or increase the oxygen content in the air, which can achieve a similar effect.

With his current abilities, learning and improving a ring of magic is the most worry-free.

And the one-ring magic is also divided into ordinary and high-level.

The so-called higher-level magic is actually a simplification of higher-level magic, or an enhancement of lower-level magic.

For example, his [White Phosphorus-Fireball Technique], strictly speaking, belongs to the first-ring high-level magic, but due to the highly poisonous and indestructible characteristics of white phosphorus, it has reached the level of second-ring magic in terms of power.

And the other improved magic [White Phosphorus - Fire Demon Hand] has a destructive power close to that of the three-ring magic.

But Lynn understands the limitations of white phosphorus fire.

Don't look at him using this thing to kill all sides in the territory of the Sekas Empire, and even killed Ansik, who is comparable to the wizard of the Three Rings.

Lynn knew very well in his heart that it was okay to bully those uneducated bishops, but once it was used against wizards, I was afraid that its power would be greatly reduced.

After all, the two important characteristics of White Phosphorus Fire can be dealt with by official wizards, and once the information leaks out, it is not so easy to achieve good results.

Therefore, he must learn more magic in order to increase his hole cards......

(PS: Ask for anything from the new book!) Today, two chapters are also posted together, and you can also discuss whether it is better to have more of this kind of scientific principle nature, or try to be as brief as possible. ）