How to break into a math book

Sui Li used the cheat to answer the second number in the series of twelve treasure boxes. Although the rabbit found out that he was using the cheat, he did not deal with him.

Just when everyone thought that the third 5 minutes of searching for clues was about to begin, the rabbit suddenly walked to the side of □□ and started the next round of rotation. The red pointer rotated rapidly and finally stopped at the position of 12.

He looked at everyone sullenly: "Because some of you use cheats, the game is not so fair. Sui Li uses cheats to answer a number correctly, and you get a clue that can be speculated. Then the clues for this round Look for opportunities to cancel."

"Now, number 12, please answer the number of gems in the box in front of you." The rabbit looked towards the end of Tu Hua's side, and kept his eyes on Wang Boyu.

Wang Boyu's face turned pale immediately, he glanced at Tu Hua in horror, and then walked forward tremblingly.

He stood in front of the treasure box as if he was going to die, his brows were tightly furrowed, and drops of sweat dripped from his forehead.Underground is a swarm of tangled and surging snakes, in front of you is a ferocious rabbit, surrounded by helpless teammates.

In addition to the fear before dying, Wang Boyu also had some unspeakable remorse on his face.He gritted his teeth, looked back at Tu Hua, his eyes were hesitant to speak, but in the end he could only say five words: "Tu Hua, I'm sorry."

After speaking, he turned around heroically, as if he was ready to fall into the snake den.Just when he opened his mouth to say "I don't know", Tu Hua behind him suddenly said loudly: "Wait a minute!"

Wang Boyu's body froze, tense.

Rabbit looked at Tu Hua, rolled his ears: "What?"

Tu Hua stepped forward, stood in the center, looked into the rabbit's blood-red eyes, and said calmly, "If I tell the number of all the gems in the 12 treasure boxes now, will everyone be able to pass the level?"

Rabbit hooked its lips: "Of course."

"Okay." Tu Hua went to the first treasure box and counted from the beginning, "The number of gems in these 12 treasure boxes are: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144."

"This sequence is the Fibonacci sequence."

There was a stunned expression on the rabbit's face, and Shen Siyi, who had always been thinking at the same frequency as Tu Hua, instantly understood: "That's right! Rabbit Sequence! So [Rabbit Sequence] means this!"

Tu Hua smiled: "Yes, the rabbit sequence is the Fibonacci sequence."

"Although the system keeps trying to mislead us and sent a rabbit NPC in the [Rabbit Sequence] level, various clues show that this sequence is the Fibonacci sequence known as the Rabbit Sequence."

"The most obvious law of the Fibonacci sequence is that starting from the third item, each item is equal to the sum of the previous two. This sequence was first discovered by the Italian mathematician Leonardo Fibonacci. He used The breeding of rabbits is taken as an example to introduce this sequence, so this sequence is also called the rabbit sequence.” Tu Hua explained, “Suppose a pair of rabbits can reproduce after 3 months of birth, and a pair of rabbits will be born again, then How many pairs of rabbits will there be each month?"

"In the first month, the young rabbits can't reproduce, so there is only one pair. In the second month, they can't reproduce, so the number is still one pair; in the third month, the rabbits can already reproduce, and a pair of young rabbits are born, so The total number of pairs in the third month is 1; in the fourth month, the first pair of rabbits are still breeding, but the newborn rabbits cannot reproduce, so the total number of pairs is 1=2; in the fifth month, two pairs of rabbits can reproduce, so the total logarithm is 12=3."

"By analogy, we can find that starting from the third month, the number of rabbits in this month is equal to the sum of the number of rabbits in the previous two months." Tu Hua looked at the crowd, "This is the famous Fibonacci sequence."

A girl standing in the middle asked suspiciously: "But this alone can't confirm that this sequence is the Fibonacci sequence?"

Tu Hua nodded, pointing to the location of the stairs: "There are many clues in this museum to prove this to us."

"First of all, this spiral staircase is a Fibonacci spiral in shape." Tu Hua said, "After the Fibonacci sequence is represented by the area of ​​a square, a snail-shaped spiral can be formed."

"This is reflected in many animals and plants in nature. Pine cones, pineapples, dragonfly wing patterns, etc. are all arranged according to the rules of the Fibonacci sequence. Of course, the most classic is the sunflower. Tu Hua explained, "On sunflowers, the Fibonacci sequence is reflected by the spiral at the center of the flower and the distribution of leaves. The spiral in the center of the flower disk has two curves extending in different directions. The sunflowers growing on these two spirals The number of seeds happens to conform to the law of the Fibonacci sequence: 2/3, 3/5, 5/8, 8/13..."

"Those two paintings!" Sun Wei also wanted to understand the reason, and followed Tu Hua's analysis, "Van Gogh's "Sunflower" represents the law of the Fibonacci sequence in nature, and it is similar to "Sunflower" "The "Mona Lisa Smile" that appeared at the same time is the embodiment of this ratio!"

"In the Fibonacci sequence, the ratio of the previous item to the next item will get closer and closer to the number 0.618. This ratio is what we often call the golden ratio, so the Fibonacci sequence is also called the golden section sequence. In the composition of the painting "Mona Lisa", the golden ratio is a very important part, and the ratio of 0.618:1 is very beautiful and comfortable, with high aesthetic value."

Wang Boyu was surprised: "This number sequence is so powerful! But what do the irrational numbers we see on the handrail of the stairs represent?"

Shen Siyi said: "The general term formula of the Fibonacci sequence is expressed by irrational numbers."

Wang Boyu finally understood that all the clues were pointing to the Fibonacci sequence. He looked at Tu Hua adoringly: "Through these scattered things, it is really amazing to be able to think of the Fibonacci sequence!"

Tu Hua glanced at the rabbit: "What really inspires me is not these clues, but the fairness in the rabbit's mouth."

"I believe everyone has also discovered that the rabbit is an extremely perfectionist obsessive-compulsive disorder, and he always emphasizes that he cares about fairness." Tu Hua looked into the rabbit's eyes and smiled, "This reminds me of Fibonacci. The awareness of equal rights of the Deed Sequence."

"Nature is fair. When the half-half method cannot be truly fair, nature uses the universal law of Fibonacci to shape beautiful animals and plants. Its essence is balance, so that the sunflower's flower disc grows Full of seeds, get more full use; let the pineapple grow the most abundant fruit; make the wings of the dragonfly more elegant and powerful...all of these are the fairest gifts of nature."

Tu Hua slowly walked towards the rabbit: "So, Mr. Rabbit, who keeps saying that he loves fairness the most, can you let us all pass the level fairly?"

The rabbit's face turned blue and white, and there was gushing anger in his eyes, but the flag that had been standing for so long before couldn't slap him in the face at this time, so he said in a muffled voice: "You are right."

In an instant, all the challengers present jumped and cheered. The treasure boxes in front of them were opened one after another. It was exactly as Tu Hua guessed. Starting from the first treasure box, the number of gems inside were: 1, 1, 2, 3 , 5, 8, 13, 21, 34, 55, 89, 144.

The rabbit left angrily, Tu Hua's three teammates surrounded him and cheered, and Su Gechi, who was standing beside him, showed a slight smile on his face.

Su Gechi came over and gently stroked the broken hair on top of his head as usual: "Your performance is great."

Doing such an intimate action in front of his partners made Tu Hua suddenly feel a little embarrassed. He looked up at Su Gechi and whispered: "Did you discover the secret of this level a long time ago? You think it's too simple." Didn't you give us a hint?"

Su Gechi looked at him with gentle affection in his eyes: "I believe you can answer it."

Sometimes trust is more important than everything else. Su Gechi’s words of belief moved Tu Hua’s heart more than any confession, because it finally made him feel that he and Su Gechi were on an equal footing. The relationship is mutual support and mutual dependence, not Tu Hua unilaterally relying on Su Gechi.

He is not the one who needs to be taken care of forever. Even in the face of a world full of crises, he can still be trusted and become a solid arm to face difficulties with Su Gechi.

In fact, several friends of Tu Hua had already seen the ambiguity between him and Su Gechi. Not only Sun Wei and Shen Siyi, two delicate people, noticed it, but even Wang Boyu noticed the abnormality.

Seeing the interaction between the two, Wang Boyu couldn't help joking: "Mr. X, why do you only believe in Tu Hua and not us?"

After finishing speaking, he winked slyly.

Su Gechi looked at the three people with smiles on their faces, and said calmly: "Have you forgotten, because I am Mr. X who only belongs to Tuhua."

Now Tu Hua's face turned even redder, and even Sun Wei couldn't help covering his mouth and giggling.

Wang Boyu smiled maliciously, and was about to attack Tu Hua when he heard the system broadcast:

【Ding--】

[Challengers Tu Hua, Sun Wei, Wang Boyu, Shen Siyi, Li Tao, Sui Li and other 11 people cleared the branch level rabbit sequence, Wang Boyu got the number 5, and Sui Li got the number 17. 】

In this level, a total of 2 people have obtained numbers. In this way, two of Tu Hua's four-member team have already completed the primary selection conditions for the main task.

The number Sun Wei got in the previous level was 9, and Wang Boyu's number was 5. At present, only Tu Hua and Shen Siyi have not got their own numbers, and there is less than half of the time left before the 48-hour time limit given by the system .

Leaving the level of [Rabbit Sequence], they should have rushed to the next level without stopping, but Tu Hua suddenly called Wang Boyu to stop.

Calling Wang Boyu aside alone, Tu Hua looked at him seriously: "Is there something you are hiding from me?"

Wang Boyu's eyes dodged: "No."

The two have been good friends for many years, and Tu Hua is older than Wang Boyu, and they always take care of him casually in the process of getting along, so Tu Hua can always feel his thoughts and emotions immediately.

He's been a little weird lately.

Wang Boyu is tall, and when Tu Hua looked at him, he had to raise his head slightly, but this did not prevent the murderous look in his eyes from rushing towards him: "Then tell me, the rabbit just asked you to answer the number of gems in the box, do you think you are To be eliminated, what does that 'sorry' you said to me mean?"