Understanding an explanation

Listen to a professor's explanation to practise and improve your listening skills.

Do the preparation task first. Then listen to the audio and do the exercises.


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?

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Worksheet101.54 KB

Language level

A2 English level (pre-intermediate)

Submitted by Daudau0601 on Sat, 04/04/2020 - 03:18

the last lecture you went to about is solutions subject. I think is not clear because of covid19, we have to learning on online. We sometimes don't hear what teacher says

Submitted by Austin on Mon, 23/03/2020 - 16:30

The last lecture I went to about is Leadership class in IFT, the professor explained so well, he indicated all the aspect of leadership will have and taught us some skills to become a successful leader.

Submitted by jason2295 on Sat, 14/03/2020 - 21:39

The girl that always wears glasses is the human resources Managent you can ask her all reference with the payment. The guy who is near to the window he is David, he is responsible for IT system, if you have any problem with the laptop please send it a email or just ask for help. The man that is wearing a green hat, he is the marketing director and the the blond girl who is set in the conference room, is Dianna, she is our accounting manager.

Submitted by Venera Bekmuratova on Mon, 24/02/2020 - 17:05

gud resources

Submitted by shahhoseini on Mon, 03/02/2020 - 14:07

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?’

Submitted by MaryaSun on Mon, 27/01/2020 - 15:59

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.

Submitted by Hevi.m on Sun, 26/01/2020 - 10:50

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


The LearnEnglish Team

Submitted by Hevi.m on Sun, 26/01/2020 - 10:43

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

Submitted by Dariusz on Sun, 19/01/2020 - 20:54

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.

Submitted by minh lộc on Wed, 08/01/2020 - 12:58

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.
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Submitted by Mohamad-Altaha on Mon, 23/12/2019 - 19:33

the last lecture that I attended was on the oil and gases It was very clear and easy to understand.

Submitted by NurAzleen on Thu, 03/10/2019 - 20:13

i have completed my task

Hello NurAzleen

I just wanted to explain why we have not published your other comments. Our comments section is for asking questions about or commenting on the content of the page. Sometimes we allow other comments, but if there are too many, this makes it more difficult for other users to use our site.

Thanks in advance for your understanding.

All the best


The LearnEnglish Team

Submitted by albukharifrm on Thu, 03/10/2019 - 15:44

I have completed the task that consist of ten questions which is, An invitation to a party, Changing a meeting time, Changing plans, Facts and figures, Four conversations, Instructions for an assignment, Leaving a message, Missing a class, Transport announcements, Understanding an explanation
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Submitted by Caterina Siligardi on Sun, 08/09/2019 - 10:37

It's incredible! When I was a student I never understood anything about mathematical concepts. Now ,while I'm studying English, I can understand a brief mathematical lecture! So, congratulations to this professor: her explanation was really brilliant. Thanks so much.

Submitted by César Árraga on Sun, 01/09/2019 - 02:22

The last lecture I went It was called 'Conscious leadership, the business of being you'. This one was absolutely fascinating and the topics dealt with were Theories and styles of leadership, Emotional Intelligence, teamwork,etc. Some times I had some doubt but I asked speaker and he explained me elaborately even with some examples.
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Submitted by Magedelabd on Tue, 27/08/2019 - 18:33

The last lecture I attended was about the brand of car that I work with . It was a technical training . The explanation was not clear because the trainer could not speak English well , he was chicness.
Profile picture for user BRAHIM ABOULOUAFA

Submitted by BRAHIM ABOULOUAFA on Tue, 23/07/2019 - 12:18

When i was lisening in this exercise the name Fibonacci' mathematician. I referred it to the actor in "Prison Break" movie !!!

Submitted by cittàutopica on Fri, 28/06/2019 - 22:53

I'm Italian and I know who was Fibonacci. He was a famous mathematician in the Middle Age. The his sequence originates from a problem proposed by the emperor Federico II. Fibonacci solved the problem faster the others.
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Submitted by mtalebi on Mon, 13/05/2019 - 05:58

It was a machine learning course in computer science. I was not satisfied because the professor was not dominant. I think some simple topics such as the Fibonacci numbers can be well explained, but a difficult subject requires a very specialist, clever and experienced teacher.

Submitted by Bayram Ozkaya on Thu, 25/04/2019 - 05:25

Yes, i think she's explained how it works to the student. However, it would be nice, it had taken place to give some exercises. I had known this sequence.It was reminding for me. Thanks a lot.