Professor: OK, before we continue, does anybody have a question? Oh, lots of questions, I see. OK, we'll go one at a time. Yes?
Student: Thank you. You talked about Fibonacci numbers in the lecture. Sorry, I don't understand. Can you explain?
Professor: Of course. What do you want to know?
Student: OK … I hope this isn't a silly question, but what does Fibonacci actually mean?
Professor: No question is ever silly – it's always good to ask. OK, it's the name of a person. Fibonacci was a European mathematician in the Middle Ages.
Student: Ah, OK. Thanks. So, we know he was a person, but what are the Fibonacci numbers? I don't get it.
Professor: The Fibonacci numbers are a sequence of numbers. They go 1, 1, 2, 3, 5, 8 and so on. Do you see the sequence? Do you see how it works?
Student: I'm not sure.
Professor: OK. This is how it works. The first number is 1, then 1 again, then 2. The third number is the first number plus the second number. The fourth number is the second number plus the third number: 1 plus 2 is 3. The fifth number is the third number, 2, plus the fourth number, 3. So the fifth number in a Fibonacci sequence is 5.
Student: Ah! I think I understand now. But what about their importance? You said these were very important.
Professor: Yes, let me explain. This sequence of numbers is important because we see it in many things. Fibonacci numbers are common in geometry, they are common in nature, for example in plants. We see the sequence everywhere.
Student: Could you give us some more examples?
Professor: OK ... well, we don't have time right now but I can bring more examples in for next class, OK?
Comments
gud resources
For the enhancement of my English language learning, I listen to the podcasts from your website. In the last section of each podcast, Tom teaches grammar rules. In the last of them, he talked about using ‘can you?’
Last lecture that i went to was my english lesson last wednesday. My teacher have read a text and then she had explained us every word or expression that we haven't understood. she was very clealy and she helps us so much every time.
Sorry what did she mean by " we will go one at a time "
Hello Hevi.m
'one at a time' is another way of saying 'one by one' -- in other words, first one person asks, then another one, then another one, etc.
All the best
Kirk
The LearnEnglish Team
Got it
Thanks
The last lecture I went to was about the global economy .
I don't thinks that she had explain much clear
the Fibonacci number made of sum of past two numbers
and start from number 1 unlike other sequences which
start by zero because (0+0 = 0) for this reason we have double
1 in the Fibonacci sequence 1 , ( 0+1) = 1 , ( 1+1) = 2 , ( 2 +1 ) = 3, .. 13, 21 ,34 , 55 , 89 and so
But one of the most interesting thing in the Fibonacci sequence is the number (1.618 ) the Golden Ratio . it made when we divide any number
of the sequence by its before number after the seventh number in the sequence .e.g. ( 21/13) = 1.6153 , (34/21)=1.619 , (55/34)= 1.617 ..
I use fibonacci numbers every day in my business
I don't remember what was the last lucture I went to about. I think it cencerned history because I studied this subject several years ago.
the last lecture, i attended was about the accounting principles . It's so quite inextricable difficult but my professoe explain it very clearly and spefical so i can understand whole lesson and can do my homework.
the last lecture that I attended was on the oil and gases
It was very clear and easy to understand.
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